For decades, students transitioning from advanced calculus to abstract mathematics have faced a notorious gatekeeper: General Topology. Often called "point-set topology," this subject forms the bedrock of modern analysis, geometry, and even functional analysis. Among the many textbooks available, one consistently underrated gem is An Introduction to General Topology by Paul E. Long.
Absolutely. 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. an introduction to general topology paul e long pdf link
Topology is often called "rubber-sheet geometry" because it focuses on properties that remain unchanged even when an object is stretched or deformed. Studying Long’s text helps you understand: Lecture Notes On General Topology An Introduction to General Topology by Paul E
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 Purchase the Dover edition – At $15–20 new,
Library Listings: Check its citation and community logs on Open Library.