Homotopic invariance of infinite-dimensional homotopic groups of Hilbert space subsets

被引：0

作者：

E. A. Mirzakhanyan

N. E. Mirzakhanyan

机构：

[1] Yerevan State University,

来源：

Journal of Contemporary Mathematical Analysis | 2008年 / 43卷

关键词：

Hilbert space; infinite-dimensional homotopic groups; Admissible class of K; -continuous mappings; Functor of infinite-dimensional groups; 22A05; 22A10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper discusses some equivalent ways of construction of infinite-dimensional homotopic groups of subsets and pairs of subsets in real Hilbert spaces. In the admissible class of K0-continuous mappings, the homotopic invariance of the mentioned groups and their isomorphism are demonstrated in the case where the basic points belong to the same component of K0-linear connectivity.

引用

页码：221 / 232

页数：11

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