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Diagonals of separately continuous maps with values in box products

Diagonals of separately continuous maps with values in box products AbstractWe prove that if X is a paracompact connected space and Z = ∏s∈S Zs is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map g : X → Z there exists a separately continuous map f : X2 → Z such that f (x, x) = g(x) for all x ∈ X. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Topological Algebra and its Applications de Gruyter

Diagonals of separately continuous maps with values in box products

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Publisher
de Gruyter
Copyright
© 2018
ISSN
2299-3231
eISSN
2299-3231
DOI
10.1515/taa-2018-0002
Publisher site
See Article on Publisher Site

Abstract

AbstractWe prove that if X is a paracompact connected space and Z = ∏s∈S Zs is a product of a family of equiconnected metrizable spaces endowed with the box topology, then for every Baire-one map g : X → Z there exists a separately continuous map f : X2 → Z such that f (x, x) = g(x) for all x ∈ X.

Journal

Topological Algebra and its Applicationsde Gruyter

Published: Mar 24, 2018

References