Functor \(\lambda\) and metrizability of compacta
type: Item
instance of: scholarly article
title: Functor \(\lambda\) and metrizability of compacta
zbMATH Open document ID: 0956.54014
author: T. F. Zhuraev
published in: Moscow University Mathematics Bulletin
publication date: 2001-02-07T00:00:00Z
review text: \textit{V.~V.~Fedorchuk} [Mosc. Univ. Math. Bull. 44, No. 4, 102-106 (1989); translation from Vestn. Mosk. Univ., Ser. I 1989, No. 4, 93-96 (1989; Zbl 0698.54006)] proved that if for any normal functor \({\mathcal F}\) of power \( \geq 3 \) acting on a category of compacta the bicompactum \({\mathcal F}(X)\) is hereditarily normal, then the bicompactum \(X\) is metrizable. In the present note the author shows that in some concrete cases the theorem of Fedorchuk remains valid when the conditions for normality of the functor \({\mathcal F}\) are absent.
Mathematics Subject Classification ID: 54E35
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 1562167
zbMATH Keywords: metrizability of bicompacta
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1562167