A space homeomorphic to each uncountable closed subspace under CH
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Publication:1315473
DOI10.1016/0166-8641(94)90042-6zbMath0795.54051OpenAlexW2072615684MaRDI QIDQ1315473
Publication date: 14 September 1994
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-8641(94)90042-6
Boolean algebras (Boolean rings) (06E99) Stone spaces (Boolean spaces) and related structures (06E15) Continuum hypothesis and Martin's axiom (03E50) Scattered spaces (54G12) Consistency and independence results in general topology (54A35) Other combinatorial set theory (03E05) Local compactness, (sigma)-compactness (54D45)
Related Items (5)
Maps of Ostaszewski and related spaces ⋮ Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I ⋮ A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras ⋮ A nonstable 𝐶*-algebra with an elementary essential composition series ⋮ On HCO spaces. An uncountable compact \(T_ 2\) space, different from \(\aleph_ 1+1\), which is homeomorphic to each of its uncountable closed subspaces
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