More set-theory for topologists

DOI10.1016/0166-8641(95)00034-EzbMath0837.54001MaRDI QIDQ1896642

Alan Dow

Publication date: 21 May 1996

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

zbMATH Keywords

iterated forcinglarge cardinalsdiamondelementary submodels

Mathematics Subject Classification ID

Consistency and independence results in general topology (54A35) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Related Items (24)

Tightness, character and related properties of hyperspace topologies ⋮ Trees and gaps from a construction scheme ⋮ Alan Dow ⋮ Corson reflections ⋮ The topology of elementary submodels ⋮ A consistent \(\sigma\)-compact sequential space which is not hereditarily weakly Whyburn ⋮ The relative strengths of fragments of Martin's axiom ⋮ Strong Fréchet properties of spaces constructed from squares and AD families ⋮ A non-implication between fragments of Martin's axiom related to a property which comes from Aronszajn trees ⋮ Cardinal characteristics and projective wellorders ⋮ Open problems in topology. ⋮ The name for Kojman-Shelah collapsing function ⋮ A glance at spaces with closure-preserving local bases ⋮ Diamond principles in Cichoń's diagram ⋮ Construction with opposition: cardinal invariants and games ⋮ Random gaps ⋮ Complete systems, elementary submodels and the tightness of upper hyperspaces ⋮ Universal graphs and functions on \(\omega_1\) ⋮ First countable, countably compact spaces and the continuum hypothesis ⋮ Random gaps under CH ⋮ Parametrized $\diamondsuit $ principles ⋮ Summable gaps ⋮ On perfect pre-images of \(\omega _{1}\) ⋮ CH with no Ostaszewski spaces

Cites Work

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• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Set theory. An introduction to independence proofs
• Proper forcing
• On the role of supercompact and extendible cardinals in logic
• New proofs of the consistency of the normal Moore space conjecture. I
• Two Classes of Frechet-Urysohn Spaces
• Aronszajn trees and the independence of the transfer property

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