Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic

DOI10.1007/BF02761858zbMath0457.03048WikidataQ105978948 ScholiaQ105978948MaRDI QIDQ1150617

Saharon Shelah, Uri Avraham

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (25)

Open problems on countable dense homogeneity ⋮ On the problem of compact totally disconnected reflection of nonmetrizability ⋮ Projective forcing ⋮ Abraham–Rubin–Shelah open colorings and a large continuum ⋮ Baumgartner's isomorphism problem for \(\aleph _2\)-dense suborders of \(\mathbb {R}\) ⋮ S-spaces and large continuum ⋮ Sets of real numbers closed under Turing equivalence: applications to fields, orders and automorphisms ⋮ Forcing and differentiable functions ⋮ Free sets for nowhere-dense set mappings ⋮ Locally connected hereditarily Lindelöf compacta ⋮ Uncountable strongly surjective linear orders ⋮ A fragment of Asperó–Mota’s finitely proper forcing axiom and entangled sets of reals ⋮ Entangledness in Suslin lines and trees ⋮ Adding a Cohen real adds an entangled linear order ⋮ Forcing axioms and stationary sets ⋮ WEAK DIAMOND AND OPEN COLORINGS ⋮ Unnamed Item ⋮ CHAIN CONDITIONS OF PRODUCTS, AND WEAKLY COMPACT CARDINALS ⋮ Unnamed Item ⋮ Forcing with stable posets ⋮ Subspaces of the Sorgenfrey line ⋮ Cohen-like first order structures ⋮ Isomorphism types of Aronszajn trees ⋮ Cosmicity of Cometrizable Spaces ⋮ On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types

Cites Work

• Unnamed Item
• Iterated Cohen extensions and Souslin's problem
• Some counterexamples in the partition calculus
• Αll $ℵ_1$-dense sets of reals can be isomorphic

This page was built for publication: Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic