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.

引用

页码：43 / 52

页数：10

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