On rigid relation principles in set theory without the axiom of choice

• Autorzy: Paul Howard , Eleftherios Tachtsis
• Języki publikacji: EN

Abstrakty

EN

We study the deductive strength of the following statements:
𝖱𝖱: every set has a rigid binary relation,
𝖧𝖱𝖱: every set has a hereditarily rigid binary relation,
𝖲𝖱𝖱: every set has a strongly rigid binary relation,
in set theory without the Axiom of Choice. 𝖱𝖱 was recently formulated by J. D. Hamkins and J. Palumbo, and 𝖲𝖱𝖱 is a classical (non-trivial) 𝖹𝖥𝖢-result by P. Vopěnka, A. Pultr and Z. Hedrlín.

Kategorie tematyczne

• 03E25: Axiom of choice and related propositions
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 232
• Numer: 3
• Strony: 199-226

Daty

wydano

2016

Twórcy

autor

Paul Howard

• Department of Mathematics, Eastern Michigan University, Ypsilanti, MI 48197, U.S.A.

autor

Eleftherios Tachtsis

• Department of Mathematics, University of the Aegean, Karlovassi, Samos 83200, Greece

Identyfikatory

DOI

10.4064/fm960-12-2015