\(\mathcal D\)-forced spaces: A new approach to resolvability

DOI10.1016/j.topol.2005.06.007zbMath1101.54038arXivmath/0609090OpenAlexW2043468215MaRDI QIDQ2493891

Zoltán Szentmiklóssy, István Juhász, Lajos Soukup

Publication date: 16 June 2006

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

Full work available at URL: https://arxiv.org/abs/math/0609090

zbMATH Keywords

maximally resolvableresolvableirresolvablesubmaximalextraresolvablenodecZFC construction

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Counterexamples in general topology (54G20) Consistency and independence results in general topology (54A35)

Related Items (15)

Submaximal spaces and cardinal invariants ⋮ Realcompactness in maximal and submaximal spaces ⋮ Resolvability of spaces having small spread or extent ⋮ Resolvability properties via independent families ⋮ Comparing weak versions of separability ⋮ Between countably compact and \(\omega\)-bounded ⋮ On resolvability of products ⋮ Ai-maximal independent families and irresolvable Baire spaces ⋮ Exactly \(n\)-resolvable topological expansions ⋮ Variations of selective separability II: Discrete sets and the influence of convergence and maximality ⋮ Resolvability and monotone normality ⋮ Strong colorings yield 𝜅-bounded spaces with discretely untouchable points ⋮ Tychonoff expansions with prescribed resolvability properties ⋮ Unnamed Item ⋮ Resolvability vs. almost resolvability

Cites Work

• Resolvability: A selective survey and some new results
• Applications of maximal topologies
• Some applications of a generalized Martin's axiom
• Resolvable, not maximally resolvable spaces
• Strongly exactly \(n\)-resolvable spaces of arbitrarily large dispersion character
• Irresolvable and submaximal spaces: Homogeneity versus \(\sigma\)-discreteness and new ZFC examples
• On submaximal spaces
• On products of maximally resolvable spaces
• A problem of set-theoretic topology
• Almost-disjoint sets the dense set problem and the partition calculus
• Tychonoff expansions by independent families
• Finite and $\omega $-resolvability
• On maximally resolvable spaces
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