Hyperspaces : fundamentals and recent advances

Author(s)

• Illanes, Alejandro
• Nadler, Sam B.

Bibliographic Information

Hyperspaces : fundamentals and recent advances

Alejandro Illanes, Sam B. Nadler, Jr

（Monographs and textbooks in pure and applied mathematics, 216）

Marcel Dekker, c1999

Note

Publisher changed: Dekker/CRC Press → Chapman & Hall/CRC → CRC Press, imprint of the Taylor & Francis Group, an informa business

Includes bibliographical references and index

Description and Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BA39490579
• ISBN:
  • 0824719824
• LCCN: 98050968
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: xvii, 512 p.
• Size: 24 cm
• Classification:
  • LCC : QA691
  • DC21 : 516.3/6
  • NDC8 : 414.5
• Subject Headings:
  • LCSH : Hyperspace
• Parent Bibliography ID:
  • BA00046446