On All Kinds of Homogeneous Spaces

DOI10.2307/1998635zbMath0318.54037OpenAlexW4233672638MaRDI QIDQ4080413

Gerald S. Ungar

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1998635

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Special properties of topological spaces (54F99)

Related Items (39)

Borel transversals and ergodic measures on indecomposable continua ⋮ Homogeneous weak solenoids ⋮ Open problems on countable dense homogeneity ⋮ The index theorem of topological regular variation and its applications ⋮ Submetrizability of some classes of coset spaces ⋮ Filament sets and homogeneous continua ⋮ Filament sets and decompositions of homogeneous continua ⋮ Homogeneity degree of fans ⋮ Dendroids with a low homogeneity degree ⋮ \(\frac {1}{2}\)-Homogeneous continua with cut points ⋮ Two questions on coset spaces of semitopological groups ⋮ Some aspects of dimension theory for topological groups ⋮ Filament local product structures in homogeneous continua ⋮ On (strongly) \((\Theta\)-)discrete homogeneous spaces ⋮ Weak countability axioms of coset spaces ⋮ On uniquely homogeneous spaces, I ⋮ There are arbitrarily large uniquely homogeneous spaces ⋮ Local connectedness in topological groups ⋮ A Topological Group Having no Homeomorphisms Other than Translations ⋮ Homogeneous spaces and transitive actions by Polish groups ⋮ Minimal spaces with cyclic group of homeomorphisms ⋮ The Effros metric ⋮ Pseudo-path connected homogeneous continua ⋮ Local connectedness in transformation groups ⋮ A Metric Form of Microtransitivity ⋮ Strong local homogeneity and coset spaces ⋮ The terminal hyperspace of homogeneous continua ⋮ Bihomogeneity of solenoids ⋮ Topological regular variation. I: Slow variation ⋮ A generalization of Hagopian's theorem and exponents ⋮ Outlet Points and Homogeneous Continua ⋮ On the Bihomogeneity Problem of Knaster ⋮ Homogeneous matchbox manifolds ⋮ An uncountable family of copies of a non-chainable tree-like continuum in the plane ⋮ Topology of actions and homogeneous spaces ⋮ Bihomogeneity and Menger manifolds ⋮ Every monotone open 2-homogeneous metric continuum is locally connected ⋮ An almost uniquely homogeneous subgroup of \({\mathbb{R}}^ n\) ⋮ Coset spaces of metrizable groups

Cites Work

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• Relations between the covering homotopy and slicing structure properties
• Semi-topological groups and linear spaces
• Transformation groups and \(C^ *\)-algebras
• Local homogeneity
• A topology for spaces of transformations
• Continua and Various Types of Homogeneity
• Reasonable Topologies for Homeomorphism Groups
• Each Homogeneous Nondegenerate Chainable Continuum is a Coset Space
• Some properties of locally compact groups
• Completely Regular Maps, Fiber Maps and Local n-Connectivity
• Homeomorphism Groups and Coset Spaces
• Topologies for Homeomorphism Groups

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