An α4, not Frechet product of α4 Frechet spaces

被引：7
|
作者：
Costantini, C
Simon, P
机构：
[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy
[2] Univ Karlovy, Matemat Fyz Fak, Prague 11800 1, Czech Republic
来源：
TOPOLOGY AND ITS APPLICATIONS | 2000年 / 108卷 / 01期
关键词：
Frechet-Urysohn space; alpha(4)-space; almost disjoint family; convergent sequence;
D O I：
10.1016/S0166-8641(00)90096-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We shall construct in ZFC two Frechet-Urysohn alpha(4)-spaces, the product of which is alpha(4), but fails to be Frechet-Urysohn. This answers Nogura's question from 1985. (C) 2000 Elsevier Science B.V. All rights reserved.
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页码：43 / 52
页数：10
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