Hyperspaces

Fundamentals and Recent Advances
1. Auflage 1999
ISBN: 978-0-8247-1982-1
Verlag: Taylor & Francis Inc

Buch, Englisch, 540 Seiten, Format (B × H): 158 mm x 234 mm, Gewicht: 885 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

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.

Zielgruppe

Professional

Autoren/Hrsg.

Illanes, Alejandro

Nadler, Sam (Morgantown, West Virginia, USA)

Nadler, Sam

Fachgebiete

• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.

Über Autor(innen)

Alejandro lllanes, Universidad Nacional Autonoma de Mexico Ciudad Universitaria, Mexico.Sam B. Nadler, Jr., West Virginia University Morgantown, West Virginia.