When does \(SC(X)=\mathbb R^X\) hold?

DOI10.1016/J.TOP.2009.11.016zbMath1210.54046OpenAlexW194974792MaRDI QIDQ968894

Nadiya Kolos, Bogdan Bokalo

Publication date: 10 May 2010

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.top.2009.11.016

zbMATH Keywords

scattered spaceresolvable spaceirresolvable space\(Q\)-spacedividing and undividing setsscatteredly continuous map

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Weak and generalized continuity (54C08) Scattered spaces (54G12) Classification of real functions; Baire classification of sets and functions (26A21)

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Topological properties preserved by weakly discontinuous maps and weak homeomorphisms ⋮ On \(\infty\)-convex sets in spaces of scatteredly continuous functions

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