On the orderability of Stone-Čech compactifications
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- by S. Purisch PDF
- Proc. Amer. Math. Soc. 41 (1973), 55-56 Request permission
Abstract:
The Stone-Čech compactification of a Tychonoff space is orderable iff it is a pseudocompact suborderable space.References
- Leonard Gillman and Melvin Henriksen, Concerning rings of continuous functions, Trans. Amer. Math. Soc. 77 (1954), 340–362. MR 63646, DOI 10.1090/S0002-9947-1954-0063646-5 S. Purisch, The category of ordered space, Department of Mathematics, Carnegie-Mellon University, Research Report 71-34, July, 1971. —, On the suborderability of metric spaces and Stone-Čech compactifications, Notices Amer. Math. Soc. 20 (1973), A-182. Abstract #701-54-49.
- M. Venkataraman, M. Rajagopalan, and T. Soundararajan, Orderable topological spaces, General Topology and Appl. 2 (1972), 1–10. MR 298631
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 55-56
- MSC: Primary 54D35; Secondary 54F05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0326662-9
- MathSciNet review: 0326662