Topology: point-set and geometric

This text covers the essentials of point-set topology in a relatively terse presentation, with lots of examples and motivation along the way. Along with the standard point-set topology topics (connected spaces, compact spaces, separation axioms, and metric spaces), the author includes path-connected...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Shick, Paul L. 1956- (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Hoboken, NJ Wiley-Interscience 2007
Schriftenreihe:Pure and applied mathematics
Schlagworte:
Zusammenfassung:This text covers the essentials of point-set topology in a relatively terse presentation, with lots of examples and motivation along the way. Along with the standard point-set topology topics (connected spaces, compact spaces, separation axioms, and metric spaces), the author includes path-connectedness, and a chapter on constructing spaces from other spaces (including products, quotients, etc.). The text culminates in to two main chapters, each independent of the other: 1) The Classification Theorem for Compact, Connected Surfaces and 2) Fundamental Groups and Covering Spaces, with Applications giving the reader the choice of which subject best suits them.
Beschreibung:XIII, 271 S. graph. Darst.
ISBN:0470096055
9780470096055