Aimed at graduate math students, this classic work is a systematic exposition of general topology and is intended to be a reference and a text.
... A c X. Then {F c X I A c F} is a filter on X with a particularly simple filter base, the collection consisting of the single set A. b) Let X be any topological space, A c X. Then {U c X I A c U°} is a filter on X. In particular, ...
"The clarity of the author's thought and the carefulness of his exposition make reading this book a pleasure." — Bulletin of the American Mathematical Society. 1955 edition.
... Now each ZF is connected since ZF=slie FXix(ai)ie I-F=slie FXi, which is a finite product of connected spaces (see Theorem — 4.1.13). Let Z=U{ZF:Fis a finite subset of). As a union of connected spaces with a point (ai)ie I in common, Z ...
The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications.
This is the softcover reprint of the 1974 English translation of the later chapters of Bourbaki’s Topologie Generale.
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students.
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer sity year).