Precise bounds for the sequential order of products of some Fréchet topologies
type: Item
instance of: scholarly article
title: Precise bounds for the sequential order of products of some Fréchet topologies
zbMATH Open document ID: 0921.54020
DOI: 10.1016/S0166-8641(97)00083-7
author: Szymon Dolecki
author: Saliou Sitou
published in: Topology and its Applications
publication date: 1999-07-26T00:00:00Z
review text: Expressing the sequential order of a product topology in terms of fascicularity and sagittality of the component topologies, the authors get lower bounds, upper bounds and precise bounds for the sequential order of the product of two regular Fréchet topologies, of two subtransverse topologies and of two Lashnev topologies, respectively. Further they show that for every countable ordinal \(\alpha\), there exists a Lashnev topology such that the sequential order of its square is equal to \(\alpha\).
reviewed by: Bernhard Behrens
Mathematics Subject Classification ID: 54D55
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54A20
zbMATH DE Number: 1308011
zbMATH Keywords: sequential order
zbMATH Keywords: fascicularity
zbMATH Keywords: sagittality
zbMATH Keywords: Fréchet topologies
zbMATH Keywords: Lashnev topology
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1308011