Coreflectively modified continuous duality applied to classical product theorems

Frédéric Mynard

Abstract

Several (old and new) results on stability of quotients (of various types) under product, on sequentiality of product of sequential spaces, on relationships between a topology and the upper Kuratowski convergence on its closed sets are derived from a general mechanism of duality that uses the continuous convergence lead to new reflectors which are of fundamental interest in this quest.

Keywords

Product topology and product maps; Quotient; Sequential; Convergence

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Cited-By (articles included in Crossref)

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1. Compatible relations on filters and stability of local topological properties under supremum and product
Francis Jordan, Frédéric Mynard
Topology and its Applications  vol: 153  issue: 14  first page: 2386  year: 2006  
doi: 10.1016/j.topol.2005.08.008



Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt