On homeomorphism groups of Menger continua

DOI10.1090/S0002-9947-05-03863-8zbMath1065.57033OpenAlexW2165586539MaRDI QIDQ4663480

Jan J. Dijkstra

Publication date: 31 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-05-03863-8

zbMATH Keywords

dimensiongroup of homeomorphismsErdős spaceSierpiński carpetMenger continuum

Mathematics Subject Classification ID

Dimension theory in general topology (54F45) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (7)

Classifying Erdős type spaces of higher descriptive complexity ⋮ Some aspects of dimension theory for topological groups ⋮ A dichotomy for spaces near dimension zero ⋮ Homeomorphism groups of homogeneous compacta need not be minimal ⋮ Homeomorphism groups of manifolds and Erdos space ⋮ Erdos space and homeomorphism groups of manifolds ⋮ On cohesive almost zero-dimensional spaces

Cites Work

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• On the Group of Homeomorphisms of the Real Line That Map the Pseudoboundary Onto Itself
• On The Dimensions of Certain Spaces of Homeomorphisms
• A positional characterization of the (n-1)-dimensional Sierpiński curve in $S^n$ (η ≠ 4)
• Topologies for Homeomorphism Groups
• Characterizing 𝑘-dimensional universal Menger compacta

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