A Rigid Space X for Which X × X is Homogeneous; an Application of Infinite-Dimensional Topology

DOI10.2307/2044128zbMath0484.54032OpenAlexW4256553821MaRDI QIDQ3943664

Jan van Mill

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2307/2044128

zbMATH Keywords

homogeneityHilbert cubeinfinite-dimensional topologyrigid spacecompact acyclic PL \(n\)-manifold

Mathematics Subject Classification ID

Counterexamples in general topology (54G20) Maps and general types of topological spaces defined by maps (54C99)

Related Items (16)

Spaces which are retracts or cofactors of paratopological groups ⋮ A homogeneous space whose complement is rigid ⋮ Open problems on countable dense homogeneity ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ On local isometries between algebras of \(C(Y)\)-valued differentiable maps ⋮ Possible classification of finite-dimensional compact Hausdorff topological algebras ⋮ Mapping theorems for rigid continua and their inverse limits ⋮ On manifolds with nonhomogeneous factors ⋮ Uncountable family of 0-rigid continua that are homeomorphic to their inverse limits ⋮ A Rigid Space Whose Square is the Hilbert Space ⋮ A non-homogeneous zero-dimensional 𝑋 such that 𝑋×𝑋 is a group ⋮ Topological reflexivity of isometries on algebras of \(C(Y)\)-valued Lipschitz maps ⋮ Unnamed Item ⋮ A characterization of power homogeneity ⋮ A rigid subspace of the real line whose square is a homogeneous subspace of the plane ⋮ Homogeneity in powers of subspaces of the real line

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