LΣ(≤ ω)-spaces and spaces of continuous functions

被引：3
|
作者：
Lara, Israel Molina [1 ]
Okunev, Oleg [1 ]
机构：
[1] Benemerita Univ Autonoma Puebla, Fac Ciencias Fisicomatemat, Puebla, Mexico
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 04期
关键词：
Lindelof Sigma-spaces; Pointwise convergence; Compact-valued mappings; Gul'ko compact spaces; LINDELOF SIGMA-SPACES;
D O I：
10.2478/s11533-010-0039-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a few results and problems related to spaces of continuous functions with the topology of pointwise convergence and the classes of L Sigma (<= omega)-spaces; in particular, we prove that every Gul'ko compact space of cardinality less or equal to c is an L Sigma(<= omega)-space.
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页码：754 / 762
页数：9
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