is a highly regarded classic textbook originally published in 1971 by the Merrill Publishing Company . It remains an essential structural guide for undergraduate and graduate mathematics students transitioning into abstract analysis.
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. an introduction to general topology paul e long pdf link
: If you are a student or faculty member, check your university's online catalog. Many institutions provide digital access to historical mathematical catalogs via SpringerLink, Wiley, or specialized library networks. is a highly regarded classic textbook originally published
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 Long shows that every metric space is Hausdorff
: Topology is famous for its "weird" spaces (like the Long Line, the Sorgenfrey Line, or the Indiscrete Topology). Keep a dedicated notebook of these spaces to test against new definitions.
: Reading texts from this era helps students appreciate how the language of topology was standardized in the mid-to-late 20th century. Finding Academic PDF Resources Legally