Topology

Prof. Dr. Klaus Jänich, Regensburg.

This is a lively and stimulating introduction to point set topology, roughly containing the material that a student who does not intend to become a specialist, ought to know.
The presentation is informal, many illustrations underline the arguments and make strong appeals to the intuition of the reader, also leading him to deeper problems and questions.Summary of contents:
Introduction
Fundamental Concepts
Topological Vector Spaces
The Quotient Topology
Completion of Metric Spaces
Homotopy
The Two Countability Axioms
CW-Complexes
Construction of Continuous Functions on Topological Spaces
Covering Spaces
The Theorem of Tychonoff
Set Theory (by T. Bröcker)
References
Table of Symbols
Index.