An example of a compact space of uncountable character for which the space \(\exp_n(X)\setminus X\) is normal

DOI10.1134/S0001434615070263zbMath1336.54006OpenAlexW2484712223MaRDI QIDQ887498

A. V. Ivanov

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615070263

zbMATH Keywords

normal functorJensen's axiomfirst countable spaceKatětov's theoremsquare of a compact spacethe functor exp\(_n\)

Mathematics Subject Classification ID

Compactness (54D30) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35)

Related Items (1)

On seminormal functors and compact spaces of uncountable character

Cites Work

• The Katětov property for finite degree seminormal functors
• On the Katetov cube theorem
• On \(\nabla\)-normal spaces
• Functor \(\lambda\) and metrizability of compacta
• Normal functors of degree \(\geq 3\)
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