1st Edition

Hyperspaces Fundamentals and Recent Advances

By Alejandro Illanes, Sam Nadler Copyright 1999
    540 Pages
    by CRC Press

    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.

    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.

    Biography

    Illanes\, Alejandro; Nadler\, Sam