Strongly sequentially separable function spaces, via selection principles

被引：3

作者：

Osipov, Alexander, V ^{[1
]}

Szewczak, Piotr ^{[2
]}

Tsaban, Boaz ^{[3
]}

机构：

[1] Ural Fed Univ, Ural State Univ Econ, Krasovskii Inst Math & Mech, Ekaterinburg 620219, Russia

[2] Cardinal Stefan Wyszynski Univ Warsaw, Fac Math & Nat Sci, Inst Math, Coll Sci, Warsaw, Poland

[3] Bar Ilan Univ, Dept Math, Ramat Gan, Israel

来源：

TOPOLOGY AND ITS APPLICATIONS | 2020年 / 270卷

关键词：

Strong sequential separability; Function spaces; Selection principles; Gerlits-Nagy; gamma-Property; Borel function; ((Omega)(Gamma)); ((Omega)(Bor)(Gamma)); gamma-Set; C-Space; COMBINATORICS; SETS;

D O I：

10.1016/j.topol.2019.106942

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A separable space is strongly sequentially separable if, for each countable dense set, every point in the space is a limit of a sequence from the dense set. We consider this and related properties, for the spaces of continuous and Borel real-valued functions on Tychonoff spaces, with the topology of pointwise convergence. Our results solve a problem stated by Gartside, Lo, and Marsh. (C) 2019 Elsevier B.V. All rights reserved.

引用

页数：8

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