Hyperspaces: Fundamentals and Recent Advances

Front Cover
CRC Press, Jan 4, 1999 - Mathematics - 544 pages
1 Review
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.
 

What people are saying - Write a review

User Review - Flag as inappropriate

jjjjjj

Contents

The Topology for Hyperspaces
3
Geometric Models for Hyperspaces
31
Arcs in Hyperspaces
97
Shape and Contractibility of Hyperspaces
153
Contractible Hyperspaces
164
References
177
Whitney Maps
205
Whitney Properties and WhitneyReversible
231
General Properties of Hyperspaces
333
Dimension of CX
347
Special Types of Maps between Hyperspaces
363
More on Contractibility of Hyperspaces
395
Products Cones and Hyperspaces
413
Questions
437
30
497
Copyright

Whitney Levels
305

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information