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.
Presents hyperspace fundamentals, offering a basic overview and a foundation for further study. Topics include the topology for hyperspaces, examples ...
Suitable for either a semester or year course for graduate students of mathematics who have had at least one course in topology, this work introduces continuum theory through a combination of classical and modern techniques.
Suitable for either a semester or year course for graduate students of mathematics who have had at least one course in topology, this work introduces ...