An example of a compact space of uncountable character for which the space \(\exp_n(X)\setminus X\) is normal
type: Item
instance of: scholarly article
title: An example of a compact space of uncountable character for which the space \(\exp_n(X)\setminus X\) is normal
zbMATH Open document ID: 1336.54006
DOI: 10.1134/S0001434615070263
author: A. V. Ivanov
published in: Mathematical Notes
publication date: 2015-10-26T00:00:00Z
review text: Under Jensen's Axiom a compact, strongly hereditarily separable topological space \(X\) with uncountable character is constructed such that for each \(n\) the space exp\(_n(X)\setminus X\) is normal, where exp\(_n(X)\) is the space of subsets of \(X\) of cardinality at most \(n\) with the Vietoris topology and \(X\) is identified with the subspace of singletons. The underlying set of \(X\) is \(\omega_1+1\).
Mathematics Subject Classification ID: 54A35
Mathematics Subject Classification ID: 54D15
Mathematics Subject Classification ID: 54D30
Mathematics Subject Classification ID: 54G20
zbMATH DE Number: 6498260
zbMATH Keywords: Katětov's theorem
zbMATH Keywords: square of a compact space
zbMATH Keywords: first countable space
zbMATH Keywords: the functor exp\(_n\)
zbMATH Keywords: normal functor
zbMATH Keywords: Jensen's axiom
reviewed by: David B. Gauld
MaRDI profile type: Publication
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full work available at URL: s0001434615070263
OpenAlex ID: W2484712223
description: scientific article; zbMATH DE number 6498260