Spaces on which every Continuous Map into a given Space is Constant

DOI10.4153/CJM-1986-065-1zbMath0599.54043OpenAlexW2314040836MaRDI QIDQ3733776

V. Tzannes, Stavros Iliadis

Publication date: 1986

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1986-065-1

zbMATH Keywords

total disconnectednessHausdorff spacesUrysohn spacesregular spaces(locally) R-monolithic spaceR-monolithic, locally R-monolithic Moore space

Mathematics Subject Classification ID

Pathological topological spaces (54G15) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Embedding (54C25) Maps and general types of topological spaces defined by maps (54C99)

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A countable widely connected Hausdorff space ⋮ Unnamed Item ⋮ On regular separable countably compact \(\mathbb{R}\)-rigid spaces ⋮ Completely regularly ordered spaces versus \(T_{2}\)-ordered spaces which are completely regular. ⋮ Binary Relations in Mathematical Economics: On Continuity, Additivity and Monotonicity Postulates in Eilenberg, Villegas and DeGroot ⋮ Topologies on function spaces ⋮ On regular \(\kappa\)-bounded spaces admitting only constant continuous mappings into \(T_1\) spaces of pseudocharacter \(\le\kappa\)

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