A space X partitions a space Y if Y is the union of pairwise disjoint subjets, each of which is homeomorphic to X. We study the topological partition relation, particularly in the context of separable metric spaces, obtaining topological analogues to well-known problems in the theory of geometric partitions.
%0 Journal Article
%1 BANKSTON1979215
%A Bankston, Paul
%A McGovern, Richard J.
%D 1979
%J General Topology and its Applications
%K distance partition topology
%N 3
%P 215 - 229
%R https://doi.org/10.1016/0016-660X(79)90034-5
%T Topological partitions
%U http://www.sciencedirect.com/science/article/pii/0016660X79900345
%V 10
%X A space X partitions a space Y if Y is the union of pairwise disjoint subjets, each of which is homeomorphic to X. We study the topological partition relation, particularly in the context of separable metric spaces, obtaining topological analogues to well-known problems in the theory of geometric partitions.
@article{BANKSTON1979215,
abstract = {A space X partitions a space Y if Y is the union of pairwise disjoint subjets, each of which is homeomorphic to X. We study the topological partition relation, particularly in the context of separable metric spaces, obtaining topological analogues to well-known problems in the theory of geometric partitions.},
added-at = {2018-09-30T20:46:25.000+0200},
author = {Bankston, Paul and McGovern, Richard J.},
biburl = {https://www.bibsonomy.org/bibtex/2c445f4a685c40693d0e6bf37fe9e1530/tomhanika},
doi = {https://doi.org/10.1016/0016-660X(79)90034-5},
interhash = {0376a9d2c0d8daead47d75a348a714f5},
intrahash = {c445f4a685c40693d0e6bf37fe9e1530},
issn = {0016-660X},
journal = {General Topology and its Applications},
keywords = {distance partition topology},
number = 3,
pages = {215 - 229},
timestamp = {2018-09-30T20:46:25.000+0200},
title = {Topological partitions},
url = {http://www.sciencedirect.com/science/article/pii/0016660X79900345},
volume = 10,
year = 1979
}