Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces

DOI10.1016/S0166-8641(01)00160-2zbMath0992.54014OpenAlexW2066997584MaRDI QIDQ1612269

Kouki Taniyama

Publication date: 22 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00160-2

zbMATH Keywords

one-dimensional simplicial complex

Mathematics Subject Classification ID

Topological spaces of dimension (leq 1); curves, dendrites (54F50) Quotient spaces, decompositions in general topology (54B15)

Cites Work

• Indivisibility of balls in Euclidean \(n\)-space
• Sets which are not homeomorphic by m-decomposition
• A decomposition of \({\mathbb{R}}\) into two homeomorphic rigid parts
• A partition of the Euclidean plane \(\mathbb{R}^2\) into \(k\) pairwise isometric connected subsets
• Decomposing topological spaces into two rigid homeomorphic subspaces
• Partitioning an interval into finitely many congruent parts
• On the paradox of the sphere
• On Partitions of Plane Sets into Simple Closed Curves
• Partitioning spaces into homeomorphic rigid parts
• Partitioning Intervals, Spheres and Balls into Congruent Pieces
• Topological partitions
• Partitioning a Set Into Mutually Homeomorphic Subsets

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