There is no free or legal direct PDF download link available for Paul E. Long's textbook, as the book is still protected by copyright.
You can, however, legally access digital copies, borrow the physical book, or explore free alternative textbooks on general topology. 📖 Access the Book
Borrow the Digital Version: You can borrow a scanned version of the book digitally on the Internet Archive.
Library Listings: Check its citation and community logs on Open Library.
Purchase a Hard Copy: You can look for secondhand physical copies of the original 1971 Merrill Mathematics Series print on Amazon. 📚 Free Alternative Topology PDFs
If you need an open-access introductory textbook on general topology, several reputable professors and institutions host free, comprehensive PDF notes and books online:
Basic "Set-Theoretic" Topology: Access the comprehensive Part 1 course text on General Topology by O. Viro et al. from the Steklov Institute of Mathematics.
University Lecture Notes: Download the highly structured, complete General Topology Notes hosted by the University of Edinburgh.
Classic Introductory Text: You can also borrow and read Bert Mendelson's iconic Introduction to Topology via the Internet Archive. AI responses may include mistakes. Learn more An introduction to general topology : Long, Paul E
Paul E. Long's "An Introduction to General Topology" (1971) is a classic mathematical text designed to bridge the gap between elementary calculus and advanced abstract analysis. Published by Merrill, this 281-page book is favored for its rigorous yet accessible approach to point-set topology. Where to Access the PDF Link
As a legacy academic text, "An Introduction to General Topology" by Paul E. Long is widely available through digital preservation libraries:
Internet Archive: You can borrow a digital copy or view the full PDF of An Introduction to General Topology.
Open Library: A secondary listing and lending service for the same archive can be found at Open Library.
Google Books: While not a full download, you can view the Google Books entry for citation and bibliographic details. Core Content and Structure
The book is structured to provide a comprehensive foundation for undergraduate and early graduate students. Key areas of study include:
Set Theory Foundations: Essential preliminaries on sets, functions, and relations that underpin all topological definitions.
Topological Spaces: Introduction to the axiomatic definition of a topology, open and closed sets, and basis for a topology.
Continuous Functions: The study of mappings that preserve topological structure, including homeomorphisms and embeddings. Separation Axioms: Detailed exploration of (Hausdorff), T3cap T sub 3 (Regular), and T4cap T sub 4 (Normal) spaces.
Compactness and Connectedness: Analysis of these two pivotal properties that describe the "global" shape and finiteness of spaces.
Metric Spaces: How distance-based metrics induce specific topologies and the conditions under which a general space is "metrizable". Why Students Choose Paul E. Long's Text An introduction to general topology by Paul E. Long
While a direct, permanent PDF download for Paul E. Long 's An Introduction to General Topology
is not legally available for free across the open web, you can legally access and read it through the Internet Archive.
This classic 1971 text is a favorite for those wanting a clear, straightforward path into point-set topology. If you're planning to share this with a study group or on a blog, here is a helpful post breakdown: Why Study Paul E. Long's Topology?
Unlike some modern texts that can be "overly pedantic," Long’s approach is known for being accessible to students transitioning from advanced calculus to abstract mathematics.
Focus on Foundations: It covers the "language of mathematics," including sets, continuity, and convergence.
Core Concepts: You'll dive deep into topological spaces, subspaces, and the essential separation axioms ( T0cap T sub 0 T4cap T sub 4 an introduction to general topology paul e long pdf link
Practical Exercises: The book is designed for a one-semester course, providing a solid foundation before moving into algebraic or geometric topology. How to Access the Book
Borrow Online: You can "borrow" a digital copy for free through the Internet Archive or view its records on Open Library.
Physical Copies: If you prefer a hard copy for your shelf, you can often find used editions on sites like Amazon. Additional Free Resources
If you're looking for supplementary PDF notes to go along with your reading, these open-access university materials are excellent:
Course Notes: Introduction to Topology (UCR) offers a comprehensive "definition bank".
Visual Guides: Cornell's Topology Notes provide clear lemmas and proofs for fundamental concepts like covering maps. An introduction to general topology : Long, Paul E
An introduction to general topology : Long, Paul E : Free Download, Borrow, and Streaming : Internet Archive. Internet Archive An introduction to general topology : Long, Paul E
The primary legal source for reading or borrowing " An Introduction to General Topology
" by Paul E. Long (1971) online is through digital libraries like the Internet Archive. Digital Access & Resources
Borrow/Read Online: You can view the full text by borrowing it digitally from the Internet Archive or Open Library.
Book Details: Originally published by Merrill in 1971, this 281-page text is part of the Merrill Mathematics Series.
Preview: Limited previews and bibliographic information are available via Google Books. Related Useful Articles & Materials
For broader study, these supplementary resources provide concise overviews of general topology topics:
Introduction to General Topology (PDF): A summary document covering definitions of topological spaces, connectedness, and separation axioms.
General Topology Lecture Notes: Comprehensive notes detailing set theoretic preliminaries, mappings, and product spaces.
General Topology (Part 1): An article focusing on the "language" of mathematics and set-theoretic topology. An introduction to general topology : Long, Paul E
"An Introduction to General Topology" by Paul E. Long (1971) is a 281-page text designed for advanced undergraduate or beginning graduate students, providing a foundation in set-theoretic topology. The book covers essential topics including topological spaces, continuity, connected and compact spaces, and separation axioms, often available for digital borrowing via the Internet Archive. For access to the text, visit Internet Archive Internet Archive AI responses may include mistakes. Learn more An introduction to general topology : Long, Paul E
An introduction to general topology : Long, Paul E : Free Download, Borrow, and Streaming : Internet Archive. Internet Archive
An introduction to general topology by Paul E Long | Goodreads
3.94. 50 ratings7 reviews. One copy. 281 pages, Paperback. Published January 1, 1971. An introduction to general topology : Long, Paul E
Review:
"Introduction to General Topology" by Paul E. Long is a comprehensive and well-structured textbook that provides a thorough introduction to the fundamental concepts of general topology. The book is available in PDF format, making it easily accessible to students and researchers alike.
Pros:
Cons:
Target audience:
This book is suitable for:
PDF link:
Unfortunately, I couldn't find a publicly available PDF link to the book. However, you can try searching for the book on academic databases, online libraries, or purchasing a digital copy from the publisher.
Conclusion:
"Introduction to General Topology" by Paul E. Long is a well-written and comprehensive textbook that provides a solid foundation in general topology. While it assumes some prior knowledge of mathematics, it is an excellent resource for students and researchers seeking to learn or review the subject. I highly recommend this book to anyone interested in topology.
The primary digital access point for An Introduction to General Topology
by Paul E. Long (1971) is through the Internet Archive, where it is available for digital lending and Open Library. Book Overview
Published as part of the Merrill Mathematics Series, this 281-page textbook serves as a foundational guide to point-set topology. It is designed for students transitioning into higher-level analysis and geometry. Key Content Areas
While specific chapter lists are limited in the search results, standard point-set topology texts of this era typically cover:
Fundamental Concepts: Definitions of topological spaces, open and closed sets, and closure.
Mappings and Functions: Continuous functions and homeomorphisms.
Space Constructions: Subspaces, product spaces, and quotient spaces.
Topological Properties: Compactness, connectedness, and separation axioms (T-spaces).
Metric Spaces: Relations between metrics and general topologies. Publication Details Author: Paul E. Long Publisher: Charles E. Merrill Publishing Company Publication Year: 1971 ISBN-13: 978-0675092531
You can also find physical copies through retailers like AbeBooks or Amazon. An introduction to general topology : Long, Paul E
The classic textbook An Introduction to General Topology Paul E. Long , first published in
, is a staple for undergraduate students transitioning into advanced mathematics. Internet Archive Background and Context
The book was designed to make abstract topological concepts accessible to students who had completed basic courses in set theory and proof techniques. Unlike some texts that rely heavily on the standard Euclidean metric, Long’s approach often uses the usual order
on real numbers to define the standard topology, helping students bridge the gap between calculus and higher-level analysis. UND Scholarly Commons
It specifically covers the material necessary to rigorously prove core calculus theorems, such as: Intermediate Value Theorem Extreme Value Theorem UND Scholarly Commons PDF and Digital Access
While a direct, permanent PDF download for this specific 1971 edition is often restricted due to copyright, you can access digital copies and previews through the following platforms: Internet Archive borrow and read a digitized version
of the full book through their "Controlled Digital Lending" program. Open Library listing for the book
is available for users to track copies and potential borrowing options. Google Books : Provides a limited preview and bibliographic information for reference. Internet Archive An introduction to general topology : Long, Paul E
Paul E. Long's An Introduction to General Topology (1971) is a classic text frequently used to bridge the gap between basic set theory and advanced analysis. Access the Book
You can view or borrow a digital copy of the book through major online archives: Internet Archive : Offers the full 281-page text for digital borrowing. Open Library There is no free or legal direct PDF
: Provides bibliographic details and access links for various editions. Book Overview
Published by Merrill, this text is recognized for its straightforward approach to complex topological concepts. It typically covers foundational topics such as: Elementary Set Theory and Logic Topological Spaces and Bases Continuous Functions and Homeomorphisms Connectedness and Compactness Separation Axioms and Metric Spaces
The book is designed for students who have completed at least one semester of rigorous analysis, serving as both a primary textbook and a useful reference for more advanced mathematicians. from this text, or do you need alternative topology recommendations for a different level of study? An introduction to general topology : Long, Paul E
An introduction to general topology : Long, Paul E : Free Download, Borrow, and Streaming : Internet Archive. Internet Archive An introduction to general topology by Paul E. Long
For students and mathematicians looking for a clear and structured pathway into point-set topology, "An Introduction to General Topology" by Paul E. Long remains a respected, though classic, entry point in the Merrill Mathematics Series. Originally published in 1971, this 281-page text is designed to transition learners from the familiar ground of real analysis and metric spaces into the abstract language of general topological spaces. How to Access the Paul E. Long PDF
Because this book is out of print, physical copies can be rare, often found through specialized retailers like Amazon or eBay. However, several digital archives provide legal ways to view or borrow the text:
Internet Archive: You can borrow the full 1971 edition for digital reading.
Open Library: A secondary portal to check availability and borrow the work. Core Topics and Chapter Overview
The book is noted for its logical progression, moving from foundational set theory to complex topological properties. Key areas covered include: An introduction to general topology : Long, Paul E
Paul E. Long's An Introduction to General Topology is a classic foundational textbook first published in 1971 as part of the Merrill Mathematics Series
. This text serves as a core resource for undergraduate students venturing into the abstract "language of mathematics" that defines modern analysis and geometry. Google Books Accessing the Text
You can access a digitized version of the full 281-page book for free on Internet Archive
, which allows users to borrow the digital PDF or view it online. Alternatively, the book's metadata and limited previews are available through Google Books Open Library Core Concepts and Structure
General topology—often nicknamed "rubber-sheet geometry"—focuses on properties that remain unchanged (invariant) under continuous deformations like stretching or bending, without tearing. Paul E. Long's approach typical of this era likely covers the following standard pedagogical progression: Maharshi Dayanand University - Rohtak Anœ introduction to general topology - Paul E. Long
I can’t help find or link to PDFs of copyrighted books. I can, however, help in other ways:
Which would you like?
Long’s text is ideal for: – Mathematics undergraduates taking their first topology course after real analysis. – Graduate students in engineering or physics needing a quick, rigorous overview. – Self-learners who have completed a proof-based linear algebra or advanced calculus course. – Instructors seeking a source of clean, non-trivial homework problems.
It is not recommended for those needing a thorough treatment of algebraic topology (homotopy, homology) or set-theoretic topology beyond the basics.
| Textbook | Difficulty | Length | Emphasis | Best For | | :--- | :--- | :--- | :--- | :--- | | Long | Intermediate | ~200 pages | Concise, exercise-heavy | One-semester undergrad course | | Munkres | Advanced | 500+ pages | Comprehensive, includes algebraic topology | Grad school preparation | | Kelley | Expert | ~300 pages | General topology for analysts | Math graduate students | | Morris (free) | Beginner | ~400 pages | Accessible, conversational | Self-learners without a professor |
Long occupies a unique sweet spot: shorter than Munkres, harder than Morris, and more approachable than Kelley.
The search volume for "an introduction to general topology paul e long pdf link" is driven by several practical realities:
However, it is critical to understand copyright status. The original copyright dates for Long’s book (published by Charles E. Merrill, later Pearson) mean it is not in the public domain. Unauthorized PDF copies violate copyright law unless hosted by the publisher with permission.
The search for "an introduction to general topology paul e long pdf link" is understandable—every student wants free, instant access. However, Paul E. Long’s masterful little book is easily worth the cost of a pizza. The Dover edition is ethically priced, legally purchased as a PDF, and will serve as a lifelong reference for continuous functions, compactness, and connectedness.
If you absolutely cannot afford it, speak to your mathematics department or library. Many professors keep a desk copy they can share, or they may place the book on course reserve. Remember: topology is about building connections—between spaces, between ideas, and between learners. Respect the work that builds those connections.
The book is structured into eight core chapters, each building logically upon the last. Clear and concise explanations : Long's writing style
The famous hierarchy: ( T_0, T_1, T_2 ) (Hausdorff), regular (( T_3 )), and normal (( T_4 )) spaces. Long explains why Hausdorff spaces are essential for uniqueness of limits and why normal spaces are required for Urysohn’s metrization theorem (introduced later in exercises).