Reduction of Finite Topological Spaces

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 reducti...

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Bibliographic Details
Published inInterdisciplinary Information Sciences Vol. 5; no. 2; pp. 149 - 155
Main Author OSAKI, Takao
Format Journal Article
LanguageEnglish
Published Sendai The Editorial Committee of the Interdisciplinary Information Sciences 1999
Japan Science and Technology Agency
Subjects
finite topological space
reduction
T0-space
weak homotopy equivalence
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Summary: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.
ISSN:1340-9050
1347-6157
DOI:10.4036/iis.1999.149