A topological characterization of ordinals: van Dalen and Wattel revisited

DOI10.1016/J.TOPOL.2011.02.014zbMath1241.54021OpenAlexW1993117368MaRDI QIDQ408563

Chris Good, Kyriakos Papadopoulos

Publication date: 10 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.02.014

zbMATH Keywords

GO spacesLOTSordinalsnests

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological lattices (06B30) Ordered topological structures (06F30)

Related Items (10)

Unnamed Item ⋮ On the Orderability Problem and the Interval Topology ⋮ The Toronto problem ⋮ Nests, and Their Role in the Orderability Problem ⋮ Spacetimes as Topological Spaces, and the Need to Take Methods of General Topology More Seriously ⋮ On the possibility of singularities on the ambient boundary ⋮ The order on the light cone and its induced topology ⋮ Bijective preimags of \(\omega_1\) ⋮ Unnamed Item ⋮ Space-time singularities vs. topologies in the Zeeman-Göbel class

Cites Work

• Bijective preimags of \(\omega_1\)
• Orderability of all noncompact images
• On Mike's misnamed intersection topologies
• Orderability of subspaces of well-orderable topological spaces
• Characterizations of compact ordinal spaces via continuous selections
• Characterizations of ordinal spaces via continuous selections
• The Orderability and Closed Images of Scattered Spaces
• The Intersection Topology W.R.T. The Real Line and the Countable Ordinals
• Intersection topologies with respect to separable GO-spaces and the countable ordinals
• A topological characterization of ordered spaces
• Compact spaces homeomorphic to a ray of ordinals
• Unnamed Item
• Unnamed Item
• Unnamed Item

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