CH with no Ostaszewski spaces

DOI10.1090/S0002-9947-99-02407-1zbMath0921.54004MaRDI QIDQ4243621

Todd Eisworth, Judith Roitman

Publication date: 19 May 1999

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

zbMATH Keywords

iterated forcingContinuum HypothesisOstaszewski space

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35)

Related Items (19)

A perfectly normal nonrealcompact space consistent with MA\(_{\aleph_1}\) ⋮ Hereditarily strongly cwH and other separation axioms ⋮ Countable compactness, hereditary \(\pi\)-character, and the continuum hypothesis ⋮ Forcing axioms and the continuum hypothesis ⋮ CH and the Moore-Mrowka problem ⋮ Random forcing and (S) and (L). ⋮ Open problems in topology. ⋮ Gently killing \(S\)-spaces ⋮ \(\omega_1\) and \(-\omega_1\) may be the only minimal uncountable linear orders ⋮ Open problems in topology, seventh status report ⋮ A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras ⋮ First countable, countably compact spaces and the continuum hypothesis ⋮ Parametrized $\diamondsuit $ principles ⋮ Antidiamond principles and topological applications ⋮ A model with Suslin trees but no minimal uncountable linear orders other than \(\omega_1\) and \(- \omega_1\) ⋮ CH and first countable, countably compact spaces ⋮ Properness under closed forcing ⋮ A guessing principle from a Souslin tree, with applications to topology ⋮ On perfect pre-images of \(\omega _{1}\)

Cites Work

• Proper forcing
• More set-theory for topologists
• On Countably Compact, Perfectly Normal Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: CH with no Ostaszewski spaces