On cardinality bounds for homogeneous spaces and the \(G_{\kappa}\)-modification of a space

DOI10.1016/J.TOPOL.2012.05.004zbMath1267.54006OpenAlexW2056630721MaRDI QIDQ444721

Guit-Jan Ridderbos, Jack R. Porter, Nathan A. Carlson

Publication date: 16 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.05.004

zbMATH Keywords

\(G_\kappa\)-modificationcardinality boundhomogenous space

Mathematics Subject Classification ID

Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (14)

Observations on some cardinality bounds ⋮ Free sequences and the tightness of pseudoradial spaces ⋮ \(G_{\delta}\) covers of compact spaces ⋮ On the cardinality of \(n\)-Urysohn and \(n\)-Hausdorff spaces ⋮ On two cardinal inequalities involving free sequences ⋮ Upper bounds for the tightness of the \(G_\delta\)-topology ⋮ On the weak tightness and power homogeneous compacta ⋮ Cardinality bounds via covers by compact sets ⋮ Symmetry considerations for topology design in the elastic inverse homogenization problem ⋮ A survey of cardinality bounds on homogeneous topological spaces ⋮ On cardinality bounds involving the weak Lindelöf degree ⋮ Design and analysis of nonlinear-transformation-based broadband cloaking for acoustic wave propagation ⋮ Power homogeneous compacta and variations on tightness ⋮ Cardinality bounds involving the skew-\(\lambda\) Lindelöf degree and its variants

Cites Work

• A short proof of a theorem of Juhász
• Non-regular power homogeneous spaces
• A new bound on the cardinality of homogeneous compacta
• On the Urysohn number of a topological space
• On the cardinality of power homogeneous Hausdorff spaces
• On the Cardinality of Urysohn Spaces
• Group Structures and Rectifiability in Powers of Spaces
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