On Martin's Axiom and Forms of Choice

DOI10.1002/malq.201400115zbMath1362.03047OpenAlexW2341624624WikidataQ114018688 ScholiaQ114018688MaRDI QIDQ2813673

Eleftherios Tachtsis

Publication date: 24 June 2016

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/malq.201400115

zbMATH Keywords

Martin's axiomweak choice principles

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Axiom of choice and related propositions (03E25)

Related Items (5)

ALMOST DISJOINT AND MAD FAMILIES IN VECTOR SPACES AND CHOICE PRINCIPLES ⋮ MA(ℵ0) restricted to complete Boolean algebras and choice ⋮ On some open problems about \(P\)-spaces, strongly quasi Baire spaces and choice ⋮ Cellularity of infinite Hausdorff spaces in \textbf{ZF} ⋮ Choiceless chain conditions

Cites Work

• The strength of the \(\Delta\)-system lemma
• Powers of 2.
• Provable forms of Martin's Axiom
• Cardinal addition and the axiom of choice
• An independence result concerning the axiom of choice
• The Law of Infinite Cardinal Addition is Weaker than the Axiom of Choice
• The Baire Category Property and Some Notions of Compactness
• The Index Problem for Infinite Symmetric Groups
• Cardinals m such that 2m = m
• Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods

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