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Hyperspaces : Fundamentals and Recent Advances - Alejandro Illanes

Hyperspaces

Fundamentals and Recent Advances

By: Alejandro Illanes

eText | 15 December 2024 | Edition Number 1

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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.

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