Characterizations of intervals via continuous selections

DOI10.1007/BF02977032zbMath0874.54018MaRDI QIDQ1365594

Tsugunori Nogura, Dmitrij B. Shakhmatov

Publication date: 9 November 1997

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

Vietoris topologycontinuous selectionarcwise connected spacelocally connected spacepathwise connected spaceclosed interval

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Continua and generalizations (54F15) Compactness (54D30) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Selections in general topology (54C65) Connected and locally connected spaces (general aspects) (54D05)

Related Items (14)

A topology generated by selections ⋮ Weak selections and suborderable metrizable spaces ⋮ Scattered spaces and selections ⋮ Selection topologies ⋮ On the existence of kings in continuous tournaments ⋮ Selections and totally disconnected spaces ⋮ Vietoris continuous selections and disconnectedness-like properties ⋮ Finite-valued multiselections ⋮ Spaces determined by selections ⋮ Characterizations of compact ordinal spaces via continuous selections ⋮ On a theorem about orderability ⋮ Insertion theorems for maps to linearly ordered topological spaces ⋮ Hyperspace selections avoiding points ⋮ Extreme selections for hyperspaces of topological spaces

Cites Work

• Topological well-ordering and continuous selections
• Topologies on Spaces of Subsets
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