Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Reduction of Finite Topological Spaces
Takao OSAKI
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1999 年 5 巻 2 号 p. 149-155

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In this paper, we define two reductions of finite topological spaces. Our reductions are the processes to decrease the number of points of a finite topological space without changing the homotopy groups of the space. Indeed, there is a weak homotopy equivalence from the original space to its reduction.
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© 1999 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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