Hyperspaces : fundamentals and recent advances
著者
書誌事項
Hyperspaces : fundamentals and recent advances
（Monographs and textbooks in pure and applied mathematics, 216）
Marcel Dekker, c1999
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注記
Publisher changed: Dekker/CRC Press → Chapman & Hall/CRC → CRC Press, imprint of the Taylor & Francis Group, an informa business
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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