Hyperspaces of Cones and Fans

DOI10.2307/2042652zbMath0413.57010OpenAlexW4235293093MaRDI QIDQ3047926

Sam B. jun. Nadler, Carl Eberhart

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042652

zbMATH Keywords

Hilbert cubehyperspaces of subcontinua of some nonlocally connected continuanonhomeomorphic spaces with homeomorphic spaces of subcontinua

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topology of infinite-dimensional manifolds (57N20)

Related Items (14)

Finite graphs have unique symmetric products ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ Continua whose hyperspace of subcontinua is infinite dimensional and a cone ⋮ On the hyperspace suspension of a continuum. ⋮ Covariant functors in categories of topological spaces ⋮ Local dendrites with unique hyperspace \(C(X)\) ⋮ Continua with almost unique hyperspace ⋮ Dendrites with unique hyperspace \(C_2(X)\) ⋮ Arc approximation property and confluence of induced mappings ⋮ Arc-smoothness in hyperspaces ⋮ Rigidity of hyperspaces ⋮ Some retractions and deformation retractions on \(2^ X\) and C(X) ⋮ Unnamed Item ⋮ Fans whose hyperspace of subcontinua are cones

Cites Work

• On certain sums of Hilbert cubes
• The Union of Two Hilbert Cubes Meeting in a Hilbert Cube Need Not be a Hilbert Cube
• Intervals of Continua which are Hilbert Cubes
• Hyperspaces of Peano continua are Hubert cubes
• Topological Properties of the Hilbert Cube and the Infinite Product of Open Intervals
• On the hyperspace of subcontinua of a finite graph I
• A note on smooth fans
• Retracting fans onto finite fans
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