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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

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Volume 68, Issue 3

Issues

Productively sequential spaces

Szymon Dolecki / Frédéric Mynard
Published Online: 2018-05-18 | DOI: https://doi.org/10.1515/ms-2017-0133

Abstract

We characterize productively sequential spaces, that is, spaces whose product with every strongly sequential space is sequential, equivalently strongly sequential. It turns out that a regular topology is productively sequential if and only if it is sequential and bi-quasi-k.

Keywords: sequential space; strongly sequential space; product space; convergence space

MSC 2010: Primary 54A20; 54B10; 54D55; Secondary 54B30

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About the article


Received: 2016-09-09

Accepted: 2016-11-10

Published Online: 2018-05-18

Published in Print: 2018-06-26


Citation Information: Mathematica Slovaca, Volume 68, Issue 3, Pages 667–676, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0133.

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