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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Professional
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-8247-1982-1 (9780824719821)
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Schweitzer Klassifikation
Alejandro lllanes, Universidad Nacional Autonoma de Mexico Ciudad Universitaria, Mexico.Sam B. Nadler, Jr. , West Virginia University Morgantown, West Virginia.
Autor*in
Morgantown, West Virginia, USA
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.
