On the space of Cantor subsets of \(\mathbb R^3\)

DOI10.1016/J.TOPOL.2013.04.004zbMath1285.54003OpenAlexW2015356804MaRDI QIDQ387904

Merve Kovan-Bakan, P. M. Gartside

Publication date: 17 December 2013

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.04.004

zbMATH Keywords

classificationdefining sequence\(n\)-decomposableAntoine necklacegenus of Cantor setstame and wild Cantor sets

Mathematics Subject Classification ID

Complete metric spaces (54E50) Hyperspaces in general topology (54B20) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (3)

Free groups as end homogeneity groups of \(3\)-manifolds ⋮ Pairwise disjoint Moebius bands in space ⋮ All projections of a typical Cantor set are Cantor sets

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tame Cantor sets in \(E^ 3\)
• Distinguishing Bing-Whitehead Cantor sets
• Zero-dimensional countable dense unions of Z-sets in the Hilbert cube
• Hyperspaces Homeomorphic to Hilbert Space
• Bing-Whitehead Cantor sets
• Rigid cantor sets in $R^3$ with simply connected complement
• The complexity of the set of squares in the homeomorphism group of the circle
• Concerning Wild Cantor Sets in E 3

This page was built for publication: On the space of Cantor subsets of \(\mathbb R^3\)