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On closed images of orthocompact spaces

Author: Gary Gruenhage
Journal: Proc. Amer. Math. Soc. 77 (1979), 389-394
MSC: Primary 54D20; Secondary 54C10
MathSciNet review: 545602
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Abstract: An example is given which shows that orthocompactness is not preserved by closed maps. We also investigate a property, weaker than orthocompactness, which is preserved by closed maps.

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

  • [HL] R. W. Heath and W. F. Lindgren, On generating non-orthocompact spaces, Set-theoretic topology (Papers, Inst. Medicine and Math., Ohio Univ., Athens, Ohio, 1975–1976) Academic Press, New York, 1977, pp. 225–237. MR 0445450
  • [J] Heikki Junnila, Covering properties and quasi-uniformities of topological spaces, Doctoral dissertation, Virginia Polytech. Inst. and State Univ., 1978.
  • [S$ _{1}$] Brian M. Scott, Toward a product theory for orthocompactness, Studies in topology (Proc. Conf., Univ. North Carolina, Charlotte, N.C., 1974; dedicated to Math. Sect Polish Acad. Sci.), Academic Press, New York, 1975, pp. 517–537. MR 0372820
  • [S$ _{2}$] -, Orthocompactness is normality in finite products of locally compact LOTS's, Set-Theoretic Topology, Academic Press, New York, 1977, pp. 339-348.
  • [S$ _{3}$] -, More about orthocompactness, (to appear).

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Article copyright: © Copyright 1979 American Mathematical Society

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