The space of intervals in a Euclidean space

被引：0

作者：

Okuyama, Shingo ^{[1
]}

机构：

[1] Takuma Natl Coll Technol, Kagawa 7691192, Japan

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2005年 / 5卷

关键词：

configuration space; partial abelian monoid; iterated loop space; space of intervals;

D O I：

10.2140/agt.2005.5.1555

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a path-connected space X, a well-known theorem of Segal, May and Milgram asserts that the configuration space of finite points in R-n with labels in X is weakly homotopy equivalent to Omega(n)Sigma X-n. In this paper, we introduce a space I-n(X) of intervals suitably topologized in R-n with labels in a space X and show that it is weakly homotopy equivalent to Omega(n)Sigma X-n without the assumption on path-connectivity.

引用

页码：1555 / 1572

页数：18

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