单独连续映射的对角线，其值在方框积中

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2017-08-05 DOI:10.1515/taa-2018-0002

O. Karlova, V. Mykhaylyuk

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引用次数: 0

摘要

摘要我们证明了如果X是一个仿紧连通空间，并且Z=Γs∈s Zs是一个被赋予盒拓扑的等连通可度量空间族的乘积，那么对于每个Baire一个映射g:X→ Z存在一个单独的连续映射f:X2→ 使得对于所有x∈x，f（x，x）＝g（x）。

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Diagonals of separately continuous maps with values in box products

Abstract We 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.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks