Productively sequential spaces

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-$k$.
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https://hal.archives-ouvertes.fr/hal-01890767
Contributor : Sébastien Mazzarese <>
Submitted on : Tuesday, October 9, 2018 - 8:27:04 AM
Last modification on : Wednesday, October 10, 2018 - 1:02:34 AM

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Szymon Dolecki, Frédéric Mynard,. Productively sequential spaces. Mathematica Slovaca, 2018, 68 (3), pp.667-676. ⟨10.1515/ms-2017-0133⟩. ⟨hal-01890767⟩

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