Topology: Point-Set and Geometric
Publisher: Wiley-Interscience
Published: February 9, 2007
Language: eng
Number of pages: 271
ISBN-13: 9780470096055
Description: 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.
Notes: Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts