A Taste of Topology

• Main Author: Runde, Volker (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Axler, S. (Editor), Ribet, K.A (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Series: Universitext
• Subjects: Mathematics.; Topology.; Algebraic topology.; Algebraic Topology.

If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language. The present book g...

Table of Contents:

• Preface
• Introduction
• Set Theory
• Metric Spaces
• Set Theoretic Topology
• Systems of Continuous Functions
• Basic Algebraic Topology
• The Classical Mittag-Leffler Theorem Derived from Bourbaki’s
• Failure of the Heine-Borel Theorem in Infinite-Dimensional Spaces
• The Arzela-Ascoli Theorem
• References
• List of Symbols
• Index.