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Martin’s Axiom is consistent with the existence of nowhere trivial automorphisms

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Publication:2782641
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DOI10.1090/S0002-9939-01-06280-3zbMath0993.03064arXivmath/0011166OpenAlexW2115024785WikidataQ114009908 ScholiaQ114009908MaRDI QIDQ2782641

Saharon Shelah, Juris Steprāns

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0011166


zbMATH Keywords

automorphismBoolean algebraMartin's axiom


Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)


Related Items (5)

A non-trivial copy of 𝛽ℕ∖ℕ ⋮ Non-trivial automorphisms of \({\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}^{<\aleph _0}\) from variants of small dominating number] ⋮ Open problems in topology. ⋮ Trivial automorphisms ⋮ Tie-points and fixed-points in \(\mathbb N^*\)




Cites Work

  • Unnamed Item
  • OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
  • Somewhere Trivial Autohomeomorphisms
  • Definable Automorphisms of P(ω)/fin




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