Intervals of Continua which are Hilbert Cubes

DOI10.2307/2041777zbMath0398.54019OpenAlexW4250661716MaRDI QIDQ4183361

Carl Eberhart

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2041777

zbMATH Keywords

Hilbert cubecoverspace of all subcontinuaannular pairinterval of continua

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15)

Related Items (16)

Models for \(C_{p}(x)\) for atriodic continua ⋮ Hyperspaces of Cones and Fans ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ Cells in hyperspaces ⋮ Induced mappings on hyperspaces \(C(p,X)\) and \(K(X)\) ⋮ Embedding suspensions into hyperspace suspensions ⋮ Local dendrites with unique \(n\)-fold hyperspace ⋮ Shore points in dendroids and conical pointed hyperspaces ⋮ Local dendrites with unique hyperspace \(C(X)\) ⋮ Uniqueness of the hyperspaces \(C(p,X)\) in the class of trees ⋮ Hyperspaces \(C(p,X)\) of finite graphs ⋮ Arc approximation property and confluence of induced mappings ⋮ The hyperspaces \(K(X)\) ⋮ Arc-smoothness in hyperspaces ⋮ About the uniqueness of the hyperspaces \(C(p,X)\) in some classes of continua ⋮ Homotopical properties of hyperspaces of generalized continua: the proper and ordinary cases

Cites Work

• 2^{𝑋} and 𝐶(𝑋) are homeomorphic to the Hilbert cube
• On CE-images of the Hubert cube and characterization of Q-manifolds
• On smooth dendroids
• Small retractions of smooth dendroids onto trees
• Hyperspaces of a Continuum
• Unnamed Item
• Unnamed Item

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