A note on semitopological properties
HTML articles powered by AMS MathViewer
- by S. Gene Crossley PDF
- Proc. Amer. Math. Soc. 72 (1978), 409-412 Request permission
Abstract:
The strongly Hausdorff and Urysohn properties of a topological space are shown to be semitopological properties.References
- S. Gene Crossley, A note on semitopological classes, Proc. Amer. Math. Soc. 43 (1974), 416–420. MR 339041, DOI 10.1090/S0002-9939-1974-0339041-6 S. Gene Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci. 22 (1971), pp. 99-112.
- S. Gene Crossley and S. K. Hildebrand, Semi-topological properties, Fund. Math. 74 (1972), no. 3, 233–254. MR 301690, DOI 10.4064/fm-74-3-233-254
- A. Hajnal and I. Juhász, Some remarks on a property of topological cardinal functions, Acta Math. Acad. Sci. Hungar. 20 (1969), 25–37. MR 242103, DOI 10.1007/BF01894566
- T. R. Hamlett, The property of being a Baire space is semi-topological, Math. Chronicle 5 (1976/77), no. 3, 166–167. MR 458360
- Norman Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36–41. MR 166752, DOI 10.2307/2312781
- S. N. Maheshwari and R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles Sér. I 89 (1975), no. 3, 395–402. MR 385801
- Takashi Noiri, On semi-$T_{2}$ spaces, Ann. Soc. Sci. Bruxelles Sér. I 90 (1976), no. 2, 215–220. MR 405348
- J. R. Porter, Strongly Hausdorff spaces, Acta Math. Acad. Sci. Hungar. 25 (1974), 245–248. MR 365486, DOI 10.1007/BF01886080
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 409-412
- MSC: Primary 54D10; Secondary 54A10
- DOI: https://doi.org/10.1090/S0002-9939-1978-0507348-9
- MathSciNet review: 507348