On topological classification of non-archimedean Frechet spaces

被引：4

作者：

Sliwa, W ^{[1
]}

机构：

[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2004年 / 54卷 / 02期

关键词：

non-archimedean; Frechet spaces; homeomorphisms;

D O I：

10.1023/B:CMAJ.0000042384.21869.5d

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any infinite-dimensional non-archimedean Frechet space E is homeomorphic to D-N where D is a discrete space with card(D) = dens(E). It follows that infinite-dimensional non-archimedean Frechet spaces E and F are homeomorphic if and only if dens(E) = dens(F). In particular, any infinite-dimensional non-archimedean Frechet space of countable type over a field K is homeomorphic to the non-archimedean Frechet space K-N.

引用

页码：457 / 463

页数：7

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