Fσ-mappings between paracompact perfect spaces

被引：0

作者：

Medvedev, Sergey ^{[1
,2
]}

机构：

[1] South Ural State Univ, Dept Math Anal, Pr Lenina 76, Chelyabinsk 454080, Russia

[2] Krasovskii Inst Math & Mech, Ekaterinburg 620219, Russia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 281卷

关键词：

Piecewise closed mapping; Souslin-F set; F-sigma-mapping; Completely Baire space; Paracompact perfect space; JAYNE;

D O I：

10.1016/j.topol.2020.107208

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

f : X -> Y is an F-sigma-mapping if f maps F-sigma-sets in X to F-sigma-sets in Y and f(-1) maps Fe-sets in Y back to F-sigma-sets in X. R.W. Hansell, J.E. Jayne, and C.A. Rogers under some assumptions proved that every F-sigma-mapping of an absolute Souslin-F set onto an absolute Souslin-F set is piecewise closed. We give a similar result for Souslin-F subsets of completely Baire spaces. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

共 11 条

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