A Characterization of Locally Connected Continua by Hyperspace Retractions

DOI10.2307/2041263zbMath0376.54015OpenAlexW4232952392MaRDI QIDQ4153325

Sam B. jun. Nadler

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041263

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Topological characterizations of particular spaces (54F65) Retraction (54C15)

Related Items (9)

Semiflows induced by length metrics: on the way to extinction ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ Continua whose hyperspace of subcontinua is infinite dimensional and a cone ⋮ Absolute fixed point sets for continuum-valued maps ⋮ Covariant functors in categories of topological spaces ⋮ Shape Properties of Whitney Maps for Hyperspaces ⋮ On Hyperspaces of Polyhedra ⋮ Zero Span is a Sequential Strong Whitney-Reversible Property ⋮ Arc-smoothness in hyperspaces

Cites Work

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• Connectedness im Kleinen and local connectedness in \(2^x\) and C(X)
• Hyperspaces of the Inverse Limit Space
• Some functions on hyperspaces of hereditarily unicoherent continua
• Rétractes absolus et hyperespaces des continus
• Partitioning a set
• Grille decomposition and convexification theorems for compact metric locally connected continua
• Hyperspaces of a Continuum

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