General Topology

This is a postgraduate level textbook, specifically written for use at universities in India and is designed to fill a long-felt need. Some of the welcome features of this book are: motivation and heuristic explanations which are provided before introducing some of the concepts; bases and subbases of a topology which are given more attention than in most books; both filters and nets are treated in great detail, along with a detailed discussion on the so-called equivalence of the two concepts; a detailed treatment of image and quotient topologies; compactification is also treated in far greater detail than in any other book, with ample remarks about common pitfalls; one-point compactifications other than Alexandroff are also considered; chapters on uniform spaces and function spaces proceed at a pace that the student will find easier to handle; a very large number and a broad spectrum of exercises, including the "drill work" type as well research-oriented type. The book also has a quick summary of basic set theory and a list of a large number of set-theoretic identities which the student should find very handy as a reference list.