A study of monotonically normal spaces
HTML articles powered by AMS MathViewer
- by Carlos R. Borges PDF
- Proc. Amer. Math. Soc. 38 (1973), 211-214 Request permission
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
- Carlos J. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1–16. MR 188982 —, Four generalizations of stratifiable spaces, Proc. Third Prague Sympos. in General Topology (to appear).
- R. W. Heath, D. J. Lutzer, and P. L. Zenor, Monotonically normal spaces, Trans. Amer. Math. Soc. 178 (1973), 481–493. MR 372826, DOI 10.1090/S0002-9947-1973-0372826-2
- Gary Gruenhage, The Sorgenfrey line is not an elastic space, Proc. Amer. Math. Soc. 38 (1973), 665–666. MR 317286, DOI 10.1090/S0002-9939-1973-0317286-8
- Hisahiro Tamano and J. E. Vaughan, Paracompactness and elastic spaces, Proc. Amer. Math. Soc. 28 (1971), 299–303. MR 273568, DOI 10.1090/S0002-9939-1971-0273568-8
Additional Information
- © Copyright 1973 American Mathematical Society
- 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