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

Fingerprint

Simplicial Complex

Homeomorphic

Natural number

Topological space

Disjoint

Subspace

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

Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces. / Taniyama, Kouki.

In: Topology and its Applications, Vol. 122, No. 1-2, 16.07.2002, p. 421-423.

Research output: Contribution to journal › Article

Taniyama, K 2002, 'Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces', Topology and its Applications, vol. 122, no. 1-2, pp. 421-423. https://doi.org/10.1016/S0166-8641(01)00160-2

Taniyama K. Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces. Topology and its Applications. 2002 Jul 16;122(1-2):421-423. https://doi.org/10.1016/S0166-8641(01)00160-2

Taniyama, Kouki. / Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces. In: Topology and its Applications. 2002 ; Vol. 122, No. 1-2. pp. 421-423.

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Access to Document

10.1016/S0166-8641(01)00160-2