An Introduction to Topology and Homotopy

A.J. Sieradski (Autor)

Buch | Hardcover

448 Seiten

1992
PWS (Verlag)
978-0-534-92960-2 (ISBN)

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An introduction to topology and homotopy at senior and first-year graduate level. Integrating graphics, examples and exercises, it first treats the topology of complete metric spaces, including their hyperspaces of sequentially compact subspaces, and then develops the homotopy category.

This text is an introduction to topology and homotopy. Topics are integrated into a coherent whole and developed slowly so students will not be overwhelmed. The first half of the text treats the topology of complete metric spaces, including their hyperspaces of sequentially compact subspaces. The second half of the text develops the homotopy category. There are numerous examples and over 900 exercises, representing a wide range of difficulty. This book should be of interest to undergraduates and researchers in mathematics.

Part I: Topology. Preliminaries. Metric topology. Topological equivalence. Topological spaces. Construction techniques. Connectedness. Compactness. Part II: Homotopy. Fundamental group. Homotopy. Group theory. Calculation of Pi1 surfaces. Covering spaces. CW complexes.

Erscheint lt. Verlag	1.1.1992
Zusatzinfo	index
Verlagsort	London
Sprache	englisch
Maße	190 x 230 mm
Gewicht	850 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-534-92960-5 / 0534929605
ISBN-13	978-0-534-92960-2 / 9780534929602
Zustand	Neuware