Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A note on semitopological properties


Author: S. Gene Crossley
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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: The strongly Hausdorff and Urysohn properties of a topological space are shown to be semitopological properties.


References [Enhancements On Off] (What's this?)

  • [1] S. Gene Crossley, A note on semitopological classes, Proc. Amer. Math. Soc. 43 (1974), pp. 416-420. MR 0339041 (49:3804)
  • [2] S. Gene Crossley and S. K. Hildebrand, Semi-closure, Texas J. Sci. 22 (1971), pp. 99-112.
  • [3] -, Semi-topological properties, Fund. Math. 74 (1972), pp. 233-254. MR 0301690 (46:846)
  • [4] A. Hajnal and I. Juhasz, Some remarks on a property of topological cardinal functions, Acta. Math. Acad. Sci. Hungar. 20 (1969), pp. 25-37. MR 0242103 (39:3437)
  • [5] T. R. Hamlett, The property of being a Baire space is semi-topological, Math. Chronicle 5 (1977), pp. 166-167. MR 0458360 (56:16563)
  • [6] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), pp. 36-41. MR 0166752 (29:4025)
  • [7] S. N. Maheshwari and R. Prasad, Some new separation axioms, Ann. Soc. Sci. Bruxelles 89 (1975), pp. 395-402. MR 0385801 (52:6660)
  • [8] Takashi Noiri, On semi-$ {T_2}$ spaces, Ann. Soc. Sci. Bruxelles 90 (1976), pp. 215-220. MR 0405348 (53:9142)
  • [9] J. R. Porter, Strongly Hausdorff spaces, Acta. Math. Acad. Sci. Hungar. 25 (1974), pp. 245-248. MR 0365486 (51:1738)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54D10, 54A10

Retrieve articles in all journals with MSC: 54D10, 54A10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1978-0507348-9
Keywords: Semiopen sets, semitopological properties, strongly Hausdorff, Urysohn space
Article copyright: © Copyright 1978 American Mathematical Society

American Mathematical Society