A classification of CO spaces which are continuous images of compact ordered spaces

DOI10.1016/J.TOPOL.2007.09.015zbMath1142.54012arXiv0706.1686OpenAlexW2962677657MaRDI QIDQ2470423

Matatyahu Rubin, Robert Bonnet

Publication date: 14 February 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.1686

zbMATH Keywords

scattered spacecontinuous imagesuperatomic Boolean algebraCompact orderable space (LOTS)successor ordinal

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Scattered spaces (54G12) Logical aspects of Boolean algebras (03G05) Ordinal and cardinal numbers (03E10)

Related Items (1)

A thin-tall Boolean algebra which is isomorphic to each of its uncountable subalgebras

Cites Work

• On HCO spaces. An uncountable compact \(T_ 2\) space, different from \(\aleph_ 1+1\), which is homeomorphic to each of its uncountable closed subspaces
• Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II
• Every Superatomic Subalgebra of an Interval Algebra is Embeddable in an Ordinal Algebra
• On subalgebras of Boolean interval algebras
• Unnamed Item
• Unnamed Item

This page was built for publication: A classification of CO spaces which are continuous images of compact ordered spaces