Continua Whose Cone and Hyperspace are Homeomorphic

DOI10.2307/1997722zbMath0356.54011OpenAlexW4230363140MaRDI QIDQ4129426

Sam B. jun. Nadler

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997722

Mathematics Subject Classification ID

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

Related Items (20)

Semi-Kelley compactifications of $(0,1$] ⋮ Hyperspaces which are products ⋮ Embedding cones over arc-smooth continua into their hyperspace of subcontinua ⋮ Diagonals separating the square of a continuum ⋮ On the hyperspace suspension of a continuum. ⋮ Hyperspaces and cones ⋮ \(\frac{1}{2}\)-homogeneous \(n\)-fold hyperspace suspensions ⋮ Covariant functors in categories of topological spaces ⋮ An uncountable family of upper semicontinuous functions \(F\) such that the graph of \(F\) is homeomorphic to the inverse limit of closed unit intervals with \(F\) as the only bonding function ⋮ The cone = hyperspace property, a characterization ⋮ On the \(n\)-fold symmetric product suspensions of a continuum ⋮ Planar embeddings of chainable continua ⋮ Making holes in the cone, suspension and hyperspaces of some continua ⋮ Folding points of unimodal inverse limit spaces ⋮ Hyperspaces of generalized continua which are infinite cylinders ⋮ Arc-smoothness in hyperspaces ⋮ Compactifications whose cone can be embedded into their hyperspace of subcontinua ⋮ Hyperspaces homeomorphic to cones ⋮ Hyperspaces homeomorphic to cones. II ⋮ Homotopical properties of hyperspaces of generalized continua: the proper and ordinary cases

Cites Work

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• Snake-like continua
• Arc Components of Certain Chainable Continua
• Multicoherence Techniques Applied to Inverse Limits
• The Cone = Hyperspace Property
• Embeddability and structure properties of real curves
• Continua which a one-to-one continuous image of [0,∞)
• Arc components of chainable Hausdorff continua
• Locating cones and Hubert cubes in hyperspaces
• Embedding certain compactifications of a half-ray
• Continua with cones homeomorphic to hyperspaces
• Hyperspaces of a Continuum

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