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.
| Original language | English |
|---|---|
| Pages (from-to) | 421-423 |
| Number of pages | 3 |
| Journal | Topology and its Applications |
| Volume | 122 |
| Issue number | 1-2 |
| DOIs | |
| 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
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
}
TY - JOUR
T1 - Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces
AU - Taniyama, Kouki
PY - 2002/7/16
Y1 - 2002/7/16
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=0038351744&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0038351744&partnerID=8YFLogxK
U2 - 10.1016/S0166-8641(01)00160-2
DO - 10.1016/S0166-8641(01)00160-2
M3 - Article
VL - 122
SP - 421
EP - 423
JO - Topology and its Applications
JF - Topology and its Applications
SN - 0166-8641
IS - 1-2
ER -