If you cannot find Long’s book, consider these free and legal topology texts:

If you need an open-access introductory textbook on general topology, several reputable professors and institutions host free, comprehensive PDF notes and books online:

: How to generate a topology from a smaller collection of subsets, a critical tool for constructing complex spaces.

Long’s text is ideal for: – 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.

Searching for "An Introduction to General Topology" Paul E. Long filetype:pdf on Google or academic search engines may yield previews or legally hosted instructor copies, but be cautious of copyright infringement. Using library services is always safer, legal, and often more reliable than random PDF links.

: A logical progression that eventually leads down to the more familiar metric spaces. Why Study General Topology?

: A highly accessible set of lecture notes and open-textbook resources available via university domains.

Extending the concept of continuity from real analysis.

While specific chapter lists are limited in the search results, standard point-set topology texts of this era typically cover:

While newer textbooks (Munkres, 2nd ed.) include category theory and algebraic topology, Long’s focus on general topology remains timeless. Many graduate entrance exams (e.g., GRE Math Subject Test) cover topics exactly as Long presents them.

Paul E. Long covers the core concepts that every math major needs to know. The book is structured to build your understanding step by step. The basics of sets, functions, and relations.

"An Introduction to General Topology" by Paul E. Long is a comprehensive textbook that provides an introduction to the fundamental concepts and principles of general topology. The book is widely used and respected in the field of mathematics, and its significance extends beyond the mathematics community to fields such as physics and engineering. We hope that this article has provided a helpful overview of the book and its contents, and we encourage readers to explore the book further.

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