This book is intended as a one-semester course in general topology,
a.k.a. point-set topology, for undergraduate students as well as
first-year graduate students. Such a course is considered a
prerequisite for further studying analysis, geometry, manifolds,
and certainly, for a career of mathematical research. Researchers
may find it helpful especially from the comprehensive
indices.General topology resembles a language in modern
mathematics. Because of this, the book is with a concentration on
basic concepts in general topology, and the presentation is of a
brief style, both concise and precise. Though it is hard to
determine exactly which concepts therein are basic and which are
not, the author makes efforts in the selection according to
personal experience on the occurrence frequency of notions in
advanced mathematics, and to related books that have received
admirable reviews.This book also contains exercises for each
chapter with selected solutions. Interrelationships among concepts
are taken into account frequently. Twelve particular topological
spaces are repeatedly exploited, which serve as examples to learn
new concepts based on old ones.
General
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