The Selectively Pseudocompact-Open Topology on C(X)

被引：3

作者：

Martinez-Cadena, Juan Alberto ^{[1
]}

Tamariz-Mascarua, Angel ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Dept Matemat, Circuito Exterior S-N,Ciudad Univ, Mexico City 04510, DF, Mexico

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2021年 / 47卷 / 05期

关键词：

Function space; Topology of uniform convergence; Selectively pseudocompact space; Set-open topology; k-space; Metrizable space; Baire space; Almost-cc-omega-bounded space; COMPLETENESS PROPERTIES; SPACE;

D O I：

10.1007/s41980-020-00462-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the selectively pseudocompact-open topology on the set of the real-valued continuous functions on a Tychonoff space, and compares this topology with the alpha-open topology and the topology of uniform convergence on the elements of alpha where alpha is one of the following: {X}, the finite subsets of X, the compact subsets of X, the countably compact subsets of X, and the pseudocompact subsets of X. Moreover, it also analyzes the almost cc-omega-bounded spaces.

引用

页码：1611 / 1628

页数：18

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