Topological partitions

DOI10.1016/0016-660X(79)90034-5zbMath0406.54002OpenAlexW4205626124MaRDI QIDQ4192652

Paul Bankston, Richard J. McGovern

Publication date: 1979

Published in: General Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-660x(79)90034-5

zbMATH Keywords

torusHilbert cubeMartin's axiomKlein bottleCantor spacePeano continuumn-spheretopological partitions0-dimensional separable metric spacecompact connected 2- manifoldirrational line

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Topological spaces and generalizations (closure spaces, etc.) (54A05) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Quotient spaces, decompositions in general topology (54B15) Dimension theory in general topology (54F45) Separability of topological spaces (54D65)

Related Items (6)

On Partitions of Plane Sets into Simple Closed Curves ⋮ The rational line partitions every self-dense metrisable space ⋮ On Partitions of Plane Sets Into Simple Closed Curves. II ⋮ On some spaces which can be partitioned by the rational line ⋮ Covering versus partitioning with the Cantor space ⋮ Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces

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