Hyperspaces: Fundamentals and Recent AdvancesTaylor & Francis, 2024 M12 15 - 544 páginas 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. |
Otras ediciones - Ver todas
Hyperspaces: Fundamentals and Recent Advances Alejandro Illanes,Sam Nadler Vista previa limitada - 2024 |
Hyperspaces: Fundamentals and Recent Advances Alejandro Illanes,Sam Nadler Vista previa limitada - 1999 |
Términos y frases comunes
2x and C(X absolute retracts admissible Whitney map Amer arc-like arc-smooth arcwise connected assume chainable circle-like CL(X closed subset compact compactum component cone Cone(X connectedness contains continuous function contractible converges Corollary countable defined Definition deformation retract denote a metric end points Example Exercise exists F₁ Figure finite graph fixed point property following theorem Goodykoontz Grispolakis Hausdorff metric Hausdorff space Hence hereditarily indecomposable continuum Hilbert cube Hint homeomorphism hyperspace property hyperspaces identity map Illanes indecomposable continuum induced mappings Lemma level for C(X map for 2X Math metric space monotone nondegenerate nonempty open subset order arc Peano continuum positive Whitney level property of Kelley prove pseudo-arc Question result S. B. Nadler Sb(A segment sequence sequential strong Whitney-reversible simple n-od smooth dendroid strong Whitney-reversible property subcontinuum Theorem topological space Topology Appl triod Tymchatyn unicoherent W. J. Charatonik weakly confluent Whitney map Whitney property Z-set