Open problems on countable dense homogeneity
type: Item
instance of: scholarly article
title: Open problems on countable dense homogeneity
zbMATH Open document ID: 1393.54017
author: Michael Hrušák
author: Jan van Mill
published in: Topology and its Applications
publication date: 2018-06-25T00:00:00Z
Mathematics Subject Classification ID: 54H05
Mathematics Subject Classification ID: 03E15
Mathematics Subject Classification ID: 54E50
zbMATH DE Number: 6894002
zbMATH Keywords: countable dense homogeneous
zbMATH Keywords: Polish space
zbMATH Keywords: group of homeomorphisms
zbMATH Keywords: Baire space
zbMATH Keywords: Bernstein set
zbMATH Keywords: compact CDH-space
MaRDI profile type: Publication
full work available at URL: j.topol.2018.03.023
OpenAlex ID: W2795129170
cites work: Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
cites work: A characterization of the universal curve and a proof of its homogeneity
cites work: One-dimensional continuous curves and a homogeneity theorem
cites work: A Fake Topological Hilbert Space
cites work: On the cardinality of countable dense homogeneous spaces
cites work: Topological homogeneity
cites work: Countable dense homogeneous spaces under Martin's axiom
cites work: Q4108979
cites work: Entire Functions Mapping Arbitrary Countable Dense Sets and Their Complements Onto Each Other
cites work: Q4844091
cites work: Αll $ℵ_1$-dense sets of reals can be isomorphic
cites work: Q3220578
cites work: Countable dense homogeneous spaces
cites work: Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
cites work: Some Theorems on n-Homogeneous Continua
cites work: Homogeneity properties with isometries and Lipschitz functions
cites work: Q4098399
cites work: A conjugated version of the countable dense homogeneity
cites work: Homogeneity in powers of zero-dimensional first-countable spaces
cites work: Transformation groups and \(C^ *\)-algebras
cites work: Q4285434
cites work: Some unsolved problems
cites work: A countable dense homogeneous set of reals of size \aleph1
cites work: A note on countable dense homogeneity
cites work: Q3774544
cites work: Q3833238
cites work: Countable dense homogeneity and the Baire property
cites work: Homogeneity and \(\sigma\)-discrete sets
cites work: Q4369839
cites work: Conditions under which a connected representable space is locally connected
cites work: Homeomorphism Groups and Coset Spaces
cites work: Homogeneity of infinite products of manifolds with boundary
cites work: Q5597407
cites work: A Jones space that is not countable dense homogeneous
cites work: Countable dense homogeneity and the double arrow space
cites work: Non-meager P-filters are countable dense homogeneous
cites work: Countable dense homogeneity and λ-sets
cites work: Some observations on filters with properties defined by open covers
cites work: Nearly countable dense homogeneous spaces
cites work: The existence of a connected meager in itself $\mathsf {CDH}$ space is independent of $\mathsf {ZFC}$
cites work: Countable dense homogeneity of definable spaces
cites work: On the existence of large p-ideals
cites work: Q4112621
cites work: Q3697871
cites work: A condition under which 2-homogeneity and representability are the same in continua
cites work: Seven characterizations of non-meager \mathsf P-filters
cites work: On the 2-homogeneity of Cartesian products
cites work: Homogeneity in powers of subspaces of the real line
cites work: Conformal Equivalence of Countable Dense Sets
cites work: Countable Dense Homogeneity in Powers of Zero-dimensional Definable Spaces
cites work: Products and countable dense homogeneity
cites work: The topology of ultrafilters as subspaces of \(2^{\omega }\)
cites work: Between Polish and completely Baire
cites work: Metrizable DH-spaces of the first category
cites work: A Rigid Space X for Which X × X is Homogeneous; an Application of Infinite-Dimensional Topology
cites work: Strong Local Homogeneity Does not Imply Countable Dense Homogeneity
cites work: The infinite-dimensional topology of function spaces
cites work: A Note on the Effros Theorem
cites work: On Countable Dense and Strong Local Homogeneity

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cites work: Baumgartner's isomorphism problem for \(\aleph _2\)-dense suborders of \(\mathbb {R}\)

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cites work: Measure preserving analytic diffeomorphisms of countable dense sets in $C^n$ and $R^n$

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cites work: The number of countable models

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cites work: Homogeneity and \(\pi\)-networks

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cites work: Q4104179

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cites work: Countable dense homogeneous filters and the Menger covering property

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cites work: Q4276159

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cites work: Q4276160

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cites work: Entire functions mapping countable dense subsets of the reals onto each other monotonically

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cites work: Q4375363

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cites work: Some results on CDH spaces. I

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cites work: Homeomorphisms of Manifolds with Prescribed Behaviour on Large Dense Sets

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cites work: On All Kinds of Homogeneous Spaces

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cites work: Countable dense homogeneity and n-homogeneity

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cites work: Q5720189

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cites work: Q3473827

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cites work: Q4030161

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Open problems on countable dense homogeneity (Wikidata QID)
Wikidata QID: Q130052258

Open problems on countable dense homogeneity (DOI)
DOI: 10.1016/J.TOPOL.2018.03.023