Hyperspaces: Fundamentals and Recent Advances, 1st Edition (Hardback) book cover

Hyperspaces

Fundamentals and Recent Advances, 1st Edition

By Alejandro Illanes, Sam Nadler

CRC Press

544 pages

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Hardback: 9780824719821
pub: 1999-01-04
$310.00
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Description

Presents hyperspace fundamentals, offering a basic overview and a foundation for further study. Topics include the topology for hyperspaces, examples of geometric models for hyperspaces, 2x and C(X) for Peano continua X, arcs in hyperspaces, the shape and contractability of hyperspaces, hyperspaces and the fixed point property, and Whitney maps. The text contains examples and exercises throughout, and provides proofs for most results.

Table of Contents

The topology for hyperspaces; examples - geometric models for hyperspaces; 2x and C(X) for Peano continua X; arcs in hyperspaces; shape and contractibility of hyperspaces; hyperspaces and the fixed point property; Whitney maps; Whitney properties and Whitney-reversible properties; Whitney levels; general properties of hyperspaces; dimension of C(X); special types of maps between hyperspaces; more on contractibility of hyperspaces; products, cones and hyperspaces; questions; special symbols.

About the Series

Chapman & Hall/CRC Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT012000
MATHEMATICS / Geometry / General