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

Research output: Contribution to journal › Article

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

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Keywords

Division
One-dimensional complex

ASJC Scopus subject areas

Geometry and Topology

Cite this

Taniyama, K. (2002). Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces. Topology and its Applications, 122(1-2), 421-423. https://doi.org/10.1016/S0166-8641(01)00160-2

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Access to Document

10.1016/S0166-8641(01)00160-2