On dimension in the topologic Hausdorf groups

被引：0
|
作者：
Pasynkov, B.A.
机构：
来源：
Vestnik Moskovskogo Universiteta. Ser. 1 Matematika Mekhanika | 1994年 / 06期
关键词：
Conformal mapping - Mathematical operators - Mathematical transformations - Set theory - State space methods;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
If Z is a closed Gδ-set in group G and: a) X is relatively pseudocompact in G or b) the group G is locally σ-relative pseudocompact and in G there is Gδ-set A with ind Aδ-set A with A<∞, X⊃G and X is locally σ-bicompact paracompact, then dim X=ind X=Ind X=ΔX. In particular the equalities are correct for locally σ-compact group X with ind X<∞.
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