The topology of elementary submodels

DOI10.1016/S0166-8641(97)00075-8zbMath0903.54002MaRDI QIDQ1379794

Franklin D. Tall, Lucia R. Junqueira

Publication date: 20 December 1998

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

zbMATH Keywords

reflectionsequentialelementary submodels

Mathematics Subject Classification ID

Compactness (54D30) Sequential spaces (54D55) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Basic constructions in general topology (54B99) Models of arithmetic and set theory (03C62)

Related Items (23)

Compact spaces, compact cardinals, and elementary submodels ⋮ 1997–98 Annual Meeting of the Association for Symbolic Logic ⋮ Compact spaces, elementary submodels, and the countable chain condition ⋮ On the free set number of topological spaces and their \(G_\delta \)-modifications ⋮ Productively Lindelöf and indestructibly Lindelöf spaces ⋮ On possible non-homeomorphic substructures of the real line ⋮ Productive Lindelöfness and a class of spaces considered by Z. Frolík ⋮ Unnamed Item ⋮ Lindelöf spaces which are indestructible, productive, or \(D\) ⋮ Reflections on dyadic compacta. ⋮ On linearly H-closed spaces ⋮ The cardinality of compact spaces satisfying the countable chain condition ⋮ On productively Lindelöf spaces ⋮ A new bound on the cardinality of homogeneous compacta ⋮ Complete systems, elementary submodels and the tightness of upper hyperspaces ⋮ Compact spaces, elementary submodels, and the countable chain condition. II ⋮ XI Latin American Symposium on Mathematical Logic ⋮ On the reflection of the countable chain condition ⋮ \(\omega_1\)-strongly compact cardinals and normality ⋮ The generalized Bolzano-Weierstrass property revisited ⋮ The real line in elementary submodels of set theory ⋮ Characterizing \(\omega_1\) and the long line by their topological elementary reflections ⋮ Reflecting Lindelöfness

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