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Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I

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Publication:1205156
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DOI10.1007/BF00419040zbMath0761.54019OpenAlexW3158227727MaRDI QIDQ1205156

Robert Bonnet, Mohamed Bekkali, Matatyahu Rubin

Publication date: 1 April 1993

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00419040

zbMATH Keywords

Boolean algebrasinterval spacescattered spacesorder topologycompact interval \(CO\) space


Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Compact (locally compact) metric spaces (54E45) Structure theory of lattices (06B05) Topological lattices (06B30)


Related Items

Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II, On HCO spaces. An uncountable compact \(T_ 2\) space, different from \(\aleph_ 1+1\), which is homeomorphic to each of its uncountable closed subspaces



Cites Work

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  • On HCO spaces. An uncountable compact \(T_ 2\) space, different from \(\aleph_ 1+1\), which is homeomorphic to each of its uncountable closed subspaces
  • A space homeomorphic to each uncountable closed subspace under CH
  • Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II
  • A partition calculus in set theory
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