Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces

Kouki Taniyama

doi:10.1016/S0166-8641(01)00160-2

Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces

Kouki Taniyama^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Let X be a topological space represented by a locally finite one-dimensional simplicial complex consisting of at most countably many simplices. Let n be a natural number. Then there are mutually disjoint and mutually homeomorphic subspaces A₁,...,A_n of X such that X=A₁∪⋯∪A_n.

Original language	English
Pages (from-to)	421-423
Number of pages	3
Journal	Topology and its Applications
Volume	122
Issue number	1-2
DOIs	https://doi.org/10.1016/S0166-8641(01)00160-2
Publication status	Published - 2002 Jul 16
Externally published	Yes

Keywords

Division
One-dimensional complex

ASJC Scopus subject areas

Geometry and Topology

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10.1016/S0166-8641(01)00160-2

Cite this

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title = "Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces",

abstract = "Let X be a topological space represented by a locally finite one-dimensional simplicial complex consisting of at most countably many simplices. Let n be a natural number. Then there are mutually disjoint and mutually homeomorphic subspaces A1,...,An of X such that X=A1∪⋯∪An.",

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AB - Let X be a topological space represented by a locally finite one-dimensional simplicial complex consisting of at most countably many simplices. Let n be a natural number. Then there are mutually disjoint and mutually homeomorphic subspaces A1,...,An of X such that X=A1∪⋯∪An.

KW - Division

KW - One-dimensional complex

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ER -

Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces

Abstract

Keywords

ASJC Scopus subject areas

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