ALGEBRAIC STRUCTURES AND TOPOLOGICAL PROPERTIES OF SPACES

被引：0
作者：
Choban, Mitrofan M. [1 ]
机构：
[1] Tiraspol State Univ, Dept Math, MD-2069 Kishinev, Moldova
来源：
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON TOPOLOGICAL ALGEBRAS AND THEIR APPLICATIONS ICTAA 2013 | 2014年 / 6卷
关键词：
Mal'cev algebra; homogeneous algebra; rectifiable space; G(delta)-subspace; pseudocompact space; pointwise pseudocompact space; F-space; COUNTABLY COMPACT;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the G(delta)-subsets of pseudocompact Mal'cev algebras (spaces). It is proved that if X is a paracompact G(delta)-subset of a pseudocompact Mal'cev algebra G, then G is compact and X is a Lindelof Cech-complete space. Moreover, if X is a paracompact G(delta)-subset of a pointwise pseudocompact topological group G, then G and X are paracompact p-spaces. Also it is determined that in a Mal'cev F-space any compact subset is finite. Some open problems are formulated.
引用
收藏
页码：78 / 95
页数：18
相关论文
共 38 条
[1]  
[Anonymous], 1996, Russian Math. Surveys, DOI DOI 10.1070/RM1966V021N04ABEH004169
[2]   First countability, tightness, and other cardinal invariants in remainders of topological groups [J].
Arhangel'skii, A. V. .
TOPOLOGY AND ITS APPLICATIONS, 2007, 154 (16) :2950-2961
[3]   Remainders of rectifiable spaces [J].
Arhangel'skii, A. V. ;
Choban, M. M. .
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (04) :789-799
[4]   Topological games and continuity of group operations [J].
Arhangel'skii, Alexander V. ;
Choban, Mitrofan M. ;
Kenderov, Petar S. .
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (16) :2542-2552
[5]  
Arhangel'skii AV., 2011, TOPOLOGY P, V3, P33
[6]  
Arhangelski A, 1967, C R ACAD SCI PARIS S, V265, pA822
[7]  
Arhangelskii A.V., 1970, Am. Math. Soc. Transl, V92, P1
[8]  
Arhangelskii A.V., 2008, ATLANTIS STUD MATH, V1
[9]   TOPOLOGICAL HOMOGENEITY - TOPOLOGICAL-GROUPS AND THEIR CONTINUOUS IMAGES [J].
ARKHANGELSKII, AV .
RUSSIAN MATHEMATICAL SURVEYS, 1987, 42 (02) :83-131
[10]  
Chaber J., 1974, FUND MATH, V84, P107
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