A new bound on the cardinality of homogeneous compacta
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Publication:2498038
DOI10.1016/j.topol.2005.08.005zbMath1098.54002OpenAlexW2071054874MaRDI QIDQ2498038
Publication date: 4 August 2006
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2005.08.005
Compactness (54D30) Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)
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On weakening tightness to weak tightness ⋮ \(\mathrm{PFA}(S)[S\) and locally compact normal spaces] ⋮ Compacta and homogeneity. some globalization effects ⋮ On $\sigma $-countably tight spaces ⋮ New bounds on the cardinality of Hausdorff spaces and regular spaces ⋮ Power homogeneous compacta and the order theory of local bases ⋮ Properties of topological partitions and mappings of topological groups ⋮ \(G_{\delta}\) covers of compact spaces ⋮ Forbidden rectangles in compacta ⋮ On cardinality bounds for homogeneous spaces and the \(G_{\kappa}\)-modification of a space ⋮ Microhomogeneity ⋮ Precalibers, monolithic spaces, first countability, and homogeneity in the class of compact spaces ⋮ Cardinal Invariants for the $G_\delta $ topology ⋮ On the weak tightness and power homogeneous compacta ⋮ Cardinality bounds via covers by compact sets ⋮ A survey of cardinality bounds on homogeneous topological spaces ⋮ On cardinality bounds involving the weak Lindelöf degree ⋮ Power homogeneous compacta and variations on tightness
Cites Work
- The topology of elementary submodels
- On the cardinality of power homogeneous compacta
- Topological homogeneity. Topological groups and their continuous images
- STRUCTURE AND CLASSIFICATION OF TOPOLOGICAL SPACES AND CARDINAL INVARIANTS
- Cardinal restrictions on some homogeneous compacta
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