Topology

Paul L. SHICK - Collection Wiley-Interscience

270 pages, parution le 22/03/2007

Ajouter à une liste

Indisponible

Résumé

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.

L'auteur - Paul L. SHICK

PAUL L. SHICK, PhD, is Professor in the Department of Mathematics and Computer Science at John Carroll University in Cleveland, Ohio. He earned a PhD in Mathematics from Northwestern University in 1984, working in the area of stable homotopy theory. He remains active in research in algebraic topology.

Sommaire

Introduction: Intuitive Topology.
Background on Sets and Functions.
Topological Spaces.
More on Open and Closed Sets and Continuous Functions.
New Spaces from Old.
Connected Spaces.
Compact Spaces.
Separation Axioms.
Metric Spaces.
The Classification of Surfaces.
Fundamental Groups and Covering Spaces.

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Paul L. SHICK
Collection	Wiley-Interscience
Parution	22/03/2007
Nb. de pages	270
Format	16 x 24
Couverture	Relié
Poids	590g
Intérieur	Noir et Blanc
EAN13	9780470096055
ISBN13	978-0-470-09605-5