Some consequences of MA + non wKH

DOI10.1016/0166-8641(81)90020-1zbMath0464.54004OpenAlexW1975169685MaRDI QIDQ1154144

Stevo Todorčević

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0166-8641(81)90020-1

zbMATH Keywords

weightMartin's AxiomBaire LOTSfirst countable compact LOTS with no dense metrizable subspacesnon weak Kurepa hypothesisomega1-treeperfectly normal non-Archimedean spacesigma-dense posetsigma-disjoint pi- base

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35)

Related Items (14)

Height and Width of Superatomic Boolean Algebras ⋮ Large cardinals and definable counterexamples to the continuum hypothesis ⋮ In memoriam: James Earl Baumgartner (1943--2011) ⋮ Indestructibility of some compactness principles over models of \(\mathsf{PFA} \) ⋮ Strong tree properties, Kurepa trees, and guessing models ⋮ Small forcings and Cohen reals ⋮ Martin’s Axiom does not imply perfectly normal non-archimedean spaces are metrizable ⋮ Topological characterizations of linearly uniformizable spaces ⋮ Left Separated Spaces With Point-Countable Bases ⋮ \(C^{*}\)-algebras with and without \(\ll\)-increasing approximate units ⋮ Cozero-accessible points ⋮ Specializing trees and answer to a question of Williams ⋮ Co-absolutes of \(\beta N\setminus N\) ⋮ Partition subalgebras for maximal almost disjoint families

Cites Work

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• Lectures in set theory with particular emphasis on the method of forcing
• Iterated Cohen extensions and Souslin's problem
• Barely Baire spaces
• Adding a closed unbounded set
• The Blumberg Problem
• ℵ1-TREES
• Aronszajn trees and the independence of the transfer property

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