Selection Principles and Games in Bitopological Function Spaces

被引：8

作者：

Lyakhovets, Daniil ^{[1
]}

Osipov, Alexander, V ^{[2
]}

机构：

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

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

来源：

FILOMAT | 2019年 / 33卷 / 14期

关键词：

Selection principles; compact-open topology; function space; bitopological space; topological games; separable space; SEPARABILITY;

D O I：

10.2298/FIL1914535L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a Tychonoff space X, we denote by (C(X), tau(k), tau(p)) the bitopological space of all real-valued continuous functions on X, where tau(k) is the compact-open topology and tau(p) is the topology of pointwise convergence. In the papers [6, 7, 13] variations of selective separability and tightness in (C(X), tau(k), tau(p)) were investigated. In this paper we continue to study the selective properties and the corresponding topological games in the space (C(X), tau(k), tau(p)).

引用

页码：4535 / 4540

页数：6

共 15 条

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