An Introduction To General Topology Paul E Long: Pdf Link

I can’t help find or link to PDFs of copyrighted books. I can, however, help in other ways:

Which would you like?

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:

  1. Clear and concise explanations: Long's writing style is clear, concise, and easy to follow, making the book an excellent resource for students who are new to topology.
  2. Comprehensive coverage: The book covers all the essential topics in general topology, including point-set topology, topological spaces, continuous functions, and more.
  3. Well-organized structure: The book is organized in a logical and coherent manner, with each chapter building on the previous one to provide a smooth learning experience.
  4. Abundance of examples and exercises: The book contains numerous examples and exercises to help students reinforce their understanding of the material and develop problem-solving skills.

Cons:

  1. Some prior knowledge assumed: While the book is designed to be accessible to students with limited background in mathematics, some prior knowledge of real analysis and set theory is assumed.
  2. Lack of visual aids: As a PDF, the book may lack visual aids like diagrams and illustrations that can be found in print editions, which may make it harder for some students to understand certain concepts.

Target audience:

This book is suitable for:

  1. Undergraduate students: Students pursuing a degree in mathematics, physics, or computer science will find this book an excellent introduction to general topology.
  2. Graduate students: Graduate students who need to refresh their knowledge of topology or require a comprehensive reference will also benefit from this book.
  3. Researchers: Researchers in mathematics, physics, and computer science may use this book as a reference or to gain a deeper understanding of specific topics in topology.

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.

How to Use Long’s Book for Self-Study

If you acquire a legal copy (PDF or physical), follow this study plan: an introduction to general topology paul e long pdf link

  1. Read the definitions aloud – Topology is definition-heavy. Before attempting exercises, write out all definitions from memory.
  2. Do every odd-numbered exercise – Long’s odd problems have solutions (often available in a separate instructor’s manual). Even problems are for challenge.
  3. Draw counterexamples – For any theorem, try to violate one hypothesis. For instance, “A compact subspace of a Hausdorff space is closed.” What if the space is not Hausdorff? Find a counterexample.
  4. Use supplementary video lectures – Search YouTube for “General topology lectures.” There is no official Long video series, but the material aligns with de Smit’s or Brunner’s courses.

A Practical Guide to Paul E. Long's An Introduction to General Topology

About the Book

Paul E. Long’s An Introduction to General Topology is a well-regarded, upper-undergraduate level textbook. It strikes a balance between rigorous proof-based mathematics and clear exposition. Compared to heavier classics like Munkres or Kelley, Long’s book is often praised for being more accessible to a first-time learner while still covering essential topics thoroughly.

Typical topics covered:

Why students look for this book:

On Finding a PDF Link

As a helpful assistant, I cannot and will not provide direct links to copyrighted PDFs that are illegally distributed. However, I can give you legal and practical ways to access the book:

1. Check your university library’s online system
Many libraries subscribe to eBook versions through platforms like EBSCO, ProQuest, or Springer. Search for the title and author. I can’t help find or link to PDFs of copyrighted books

2. Use legitimate academic repositories

3. Purchase a used physical copy
Used copies are often inexpensive. Check:

The ISBNs for reference:

4. Request an interlibrary loan
If your library doesn’t own it, they can borrow a copy from another library — often free.

5. Look for open alternatives
If you cannot find Long’s book, consider these free and legal topology texts:

3. Pearson’s Archive or Secondhand Sellers

Pearson Education occasionally sells legacy titles as print-on-demand. Check Pearson’s official site. Alternatively, buy a used physical copy from AbeBooks or ThriftBooks (often under $20) and scan it yourself. Summarize key topics and structure of Paul E

The Copyright Reality

The book was originally published in 1971. However, Dover Publications released an inexpensive paperback reprint (ISBN-10: 0486836572, ISBN-13: 978-0486836571). Dover owns the current copyright. As such, no legal, free PDF is distributed by the publisher or author. You will find many random PDF hosting sites (e.g., academia.edu, archive.org, or libgen) offering downloads—these are almost always copyright violations unless the copy is explicitly marked as out of copyright (it is not, because Dover’s edition is from 2019).

Chapter 8: Metric Spaces

Though introduced earlier as examples, metric spaces get their own chapter late in the book—a deliberate pedagogical choice. Long shows that every metric space is Hausdorff and paracompact, and introduces completeness, separability, and the Baire category theorem.

Legal Options to Access the PDF:

  1. Purchase the Dover edition – At $15–20 new, it is one of the cheapest topology texts ever. Dover e-books are available through Amazon Kindle, Google Play Books, and Kobo in PDF format for about $10.
  2. Library Access – Check your university library’s digital collection (e.g., EBSCO, ProQuest, or HathiTrust). Many libraries have licensed the Dover e-book.
  3. Interlibrary Loan (ILL) – If your library lacks the e-book, request a scan of specific chapters (fair use for research).
  4. Open Access Alternatives – If you truly need a free resource, consider Topology Without Tears by Sidney A. Morris (open access PDF) or Elementary Topology by O.Ya. Viro et al. Both are legal and excellent.