Resolvability: A selective survey and some new results

DOI10.1016/S0166-8641(96)00052-1zbMath0866.54004WikidataQ127343058 ScholiaQ127343058MaRDI QIDQ675114

W. Wistar Comfort, Salvador García-Ferreira

Publication date: 20 July 1997

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

zbMATH Keywords

countably compactpseudocompact\(\kappa\)-resolvable spacemaximal Tikhonov topologymaximal topologyresolvable topological groupresolvable topological spacespace without isolated points

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Continuous maps (54C05) Topological groups (topological aspects) (54H11) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) (P)-spaces (54G10) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Related Items (36)

Box resolvability ⋮ Submaximal spaces and cardinal invariants ⋮ Every crowded pseudocompact ccc space is resolvable ⋮ Resolvability of spaces having small spread or extent ⋮ Resolvable, not maximally resolvable spaces ⋮ Selective survey on subset combinatorics of groups. ⋮ On Pospíšil ideals ⋮ On the resolvability of Lindelöf-generated and (countable extent)-generated spaces ⋮ Contra Continuity Properties of Relations in Relator Spaces ⋮ Tychonoff expansions in which a given set is open ⋮ Independent families and resolvability ⋮ THE BAIRE CLOSURE AND ITS LOGIC ⋮ Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces ⋮ A nodec regular analytic topology ⋮ On resolvable primal spaces ⋮ Borel resolvability of compact spaces and their subspaces ⋮ Pseudocompactness and resolvability ⋮ Suitable sets for paratopological groups ⋮ Resolvability of Lindelöf spaces ⋮ Every locally connected functionally Hausdorff space is \(c\)-resolvable ⋮ The converse of the intermediate value theorem: from Conway to Cantor to cosets and beyond ⋮ \(\mathcal D\)-forced spaces: A new approach to resolvability ⋮ Tychonoff expansions by independent families ⋮ A characterization of the uniform convergence points set of some convergent sequence of functions ⋮ Arhangelskii's $\alpha$-principles and selection games ⋮ On Marczewski-Burstin Representations of Algebras and Ideals ⋮ On some questions about \(KC\) and related spaces ⋮ On order continuous duals of vector lattices of continuous functions ⋮ Primal topologies on the integers ⋮ Hybrid logics of separation axioms ⋮ Equations in \(\beta G\) and the resolvability of abelian groups ⋮ Discontinuous extensions and almost resolvability ⋮ Unnamed Item ⋮ On resolvability of topological spaces ⋮ Maximal independent families and a topological consequence ⋮ Some remarks on extraresolvable spaces

Cites Work

• Applications of maximal topologies
• A class of maximal topologies
• Resolvable, not maximally resolvable spaces
• Discrete subsets of topological groups
• On products of maximally resolvable spaces
• Ordinal invariants for topological spaces
• Maximal resolvability of bounded groups
• An example of a connected irresolvable Hausdorff space
• A problem of set-theoretic topology
• Maximal σ-independent families
• ON EXTREMALLY DISCONNECTED TOPOLOGICAL GROUPS
• Groups with Only Resolvable Group Topologies
• Almost Periodic Functions in a Group. I
• Finite and $\omega $-resolvability
• On Connected Irresolvable Hausdorff Spaces
• On maximally resolvable spaces
• Sums of ultrafilters
• A new kind of compactness for topological spaces
• Maximal and Minimal Topologies
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