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Proceedings of the American Mathematical Society

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A study of monotonically normal spaces


Author: Carlos R. Borges
Journal: Proc. Amer. Math. Soc. 38 (1973), 211-214
MSC: Primary 54D15
DOI: https://doi.org/10.1090/S0002-9939-1973-0324644-4
MathSciNet review: 0324644
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Abstract: We obtain various characterizations of monotonically normal spaces which not only answer various questions of Zenor but also allow an elementary proof of a result of Heath and Lutzer. We also prove that elastic spaces are monotonically normal.


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

  • [1] C. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1-16. MR 32 #6409. MR 0188982 (32:6409)
  • [2] -, Four generalizations of stratifiable spaces, Proc. Third Prague Sympos. in General Topology (to appear).
  • [3] R. Heath, D. Lutzer and P. Zenor, Monotonically normal spaces, Trans. Amer. Math. Soc. (to appear). MR 0372826 (51:9030)
  • [4] G. Gruenhage, The Sorgenfrey line is not elastic, Proc. Amer. Math. Soc. (to appear). MR 0317286 (47:5833)
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0324644-4
Keywords: Monotonically normal, linearly ordered topological spaces, elastic spaces
Article copyright: © Copyright 1973 American Mathematical Society

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