Arc-Smooth Continua

DOI10.2307/1999750zbMath0483.54023OpenAlexW4240548365MaRDI QIDQ3942042

J. B. Fugate, Lewis Lum, G. R. jun. Gordh

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/1999750

zbMATH Keywords

continuous selectionsfixed point setdendritecontractibilitypartial ordersdendroidorder preserving mappingstopological semigroupsarc-smooth continuafreely contractible continuametric K-spacescharacterizations of smoothness in dendroidscones over compactacontinua with arc- structuresconvex continua in l2injectively metrizable continuaradially convex metricsset function Tstrongly convex metric continua

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (10)

On strong size levels ⋮ Hollowing to the hyperspace of subcontinua of dendrites ⋮ Embedding cones over arc-smooth continua into their hyperspace of subcontinua ⋮ An Order Theoretic Characterization of Nested Spaces ⋮ On Pointwise Smooth Dendroids ⋮ On size mappings. ⋮ Path connectedness, local path connectedness and contractibility of $\mathcal{S}_c(X)$ ⋮ Arc-smooth generalized universal covering spaces ⋮ ARC-Smoothness and Contractibility in Whitney Levels ⋮ Arc-smoothness in hyperspaces

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