On HCO spaces. An uncountable compact \(T_ 2\) space, different from \(\aleph_ 1+1\), which is homeomorphic to each of its uncountable closed subspaces

DOI10.1007/BF02760945zbMath0796.54041MaRDI QIDQ1310418

Robert Bonnet, Saharon Shelah

Publication date: 9 October 1994

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

zbMATH Keywords

HCO spaceOstaszewski space

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Topological lattices (06B30) Ordered topological structures (06F30) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (5)

Maps of Ostaszewski and related spaces ⋮ On a poset algebra which is hereditarily but not canonically well generated ⋮ A classification of CO spaces which are continuous images of compact ordered 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

Cites Work

• Set theory. An introduction to independence proofs
• Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I
• A space homeomorphic to each uncountable closed subspace under CH
• Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II
• Superatomic treealgebras
• Superatomic Boolean algebras
• Countable tightness and proper forcing
• Every Superatomic Subalgebra of an Interval Algebra is Embeddable in an Ordinal Algebra
• On Countably Compact, Perfectly Normal Spaces
• A Perfectly Normal Countably Compact Scattered Space which is not Strongly Zero-Dimensional
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