Subspaces of the Sorgenfrey line

DOI10.1016/S0166-8641(97)00181-8zbMath0967.54030OpenAlexW1986905166MaRDI QIDQ1295195

Dennis K. Burke, Justin Tatch Moore

Publication date: 4 September 2001

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00181-8

zbMATH Keywords

Baire spaceMartin's axiomPFAproduct spaceLindelöf\(F_\sigma\)\(G_\delta\)

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Pathological topological spaces (54G15)

Related Items (12)

ON MODIFICATION OF THE SORGENFREY LINE ⋮ ON THE HOMEOMORPHISM OF THE SORGENFREY LINE AND ITS MODIFICATIONS SQ ⋮ Some more examples of monotonically Lindelöf and not monotonically Lindelöf spaces ⋮ Linear homeomorphisms of spaces of continuous functions on long Sorgenfrey lines ⋮ On a homeomorphism between the Sorgenfrey line \(S\) and its modification \(S_P\) ⋮ Base-cover paracompactness ⋮ Countable dense homogeneity and the double arrow space ⋮ A Hausdorff compact space is metrizable if and only if it is a continuous open image of the Sorgenfrey line ⋮ Unnamed Item ⋮ Dissipated compacta ⋮ Open images of the Sorgenfrey line ⋮ Continuous separating families in ordered spaces and strong base conditions

Cites Work

• On the consistency of some partition theorems for continuous colorings, and the structure of \(\aleph _ 1\)-dense real order types
• Set theory. An introduction to independence proofs
• Martin's axiom does not imply that every two \(chi_ 1-\)dense sets of reals are isomorphic
• Some properties of the Sorgenfrey line and related spaces
• On powers of certain lines
• Partition Problems in Topology
• Αll $ℵ_1$-dense sets of reals can be isomorphic
• On the topological product of paracompact spaces
• A Note on Paracompact Spaces
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