On stratifiable and elastic spaces
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- by M. Jeanne Harris PDF
- Proc. Amer. Math. Soc. 122 (1994), 925-929 Request permission
Abstract:
We show that every stratifiable space has a $\sigma$-cushioned pair-base which is a function, and more generally, every linearly stratifiable space has a linearly cushioned pair-base which is a function. These results provide a correct proof for a theorem of Tamano and Vaughan.References
- Carlos R. Borges, Elastic spaces and related concepts, Kobe J. Math. 5 (1988), no. 2, 311–316. MR 990831
- C. R. Borges, Four generalizations of stratifiable spaces, General topology and its relations to modern analysis and algebra, III (Proc. Third Prague Topological Sympos., 1971) Academia, Prague, 1972, pp. 73–76. MR 0362245
- 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 P. J. Moody, Neighborhood conditions on topological spaces, Ph.D. thesis, Oxford, 1989. J. Pope, Some results concerning elastic spaces, Ph.D. thesis, University of North Carolina at Chapel Hill, 1972.
- 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
- J. E. Vaughan, Linearly ordered collections and paracompactness, Proc. Amer. Math. Soc. 24 (1970), 186–192. MR 253288, DOI 10.1090/S0002-9939-1970-0253288-5
- J. E. Vaughan, Linearly stratifiable spaces, Pacific J. Math. 43 (1972), 253–266. MR 321021
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 925-929
- MSC: Primary 54E20
- DOI: https://doi.org/10.1090/S0002-9939-1994-1216815-3
- MathSciNet review: 1216815