On closed images of orthocompact spaces
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- by Gary Gruenhage PDF
- Proc. Amer. Math. Soc. 77 (1979), 389-394 Request permission
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
- 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 Heikki Junnila, Covering properties and quasi-uniformities of topological spaces, Doctoral dissertation, Virginia Polytech. Inst. and State Univ., 1978.
- 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 —, Orthocompactness is normality in finite products of locally compact LOTS’s, Set-Theoretic Topology, Academic Press, New York, 1977, pp. 339-348. —, More about orthocompactness, (to appear).
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 77 (1979), 389-394
- MSC: Primary 54D20; Secondary 54C10
- DOI: https://doi.org/10.1090/S0002-9939-1979-0545602-6
- MathSciNet review: 545602