位相空間と微分空間のホモトピー群について

URI http://repository.ipu-japan.ac.jp/metadata/114
FulltextURL
Title
位相空間と微分空間のホモトピー群について
Title Alternative
The homotopy groups of Topological and Diffeological spaces
Author
著者 原口 忠之
著者(別表記) HARAGUCHI Tadayuki
Abstract

Let Top and Diff be the categories of topological and diffeological spaces, respectively. Then there is a functor D : Top → Diff which maps a topological space X to the diffeological space DX. We define the homotopy groups of topological and diffeological spaces, respectively. In this paper we shall show that πn(X, x) and πn(DX, x) are isomorphic, where X is a topological space.

Subject
410 Mathematics
Keyword
ホモトピー群
位相空間
微分空間
Publish Date
2012-10-01
Publication Title
環太平洋大学研究紀要
Publication Title Alternative
Bulletin of International Pacific University
Volume
6
Start Page
77
End Page
80
ISSN
1882-479X
NCID
1882-479X
Publisher
環太平洋大学
Publisher Alternative
International Pacific University
Copyright Holders
環太平洋大学
Contents Type
Departmental Bulletin Paper
language
Japanese
File Version
publisher