Paracompactness and elastic spaces
HTML articles powered by AMS MathViewer
- by Hisahiro Tamano and J. E. Vaughan PDF
- Proc. Amer. Math. Soc. 28 (1971), 299-303 Request permission
Abstract:
This paper gives a characterization of paracompactness, and introduces the notion of an elastic space which generalizes the concept of a stratifiable (in particular, metric) space.References
- Carlos J. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1–16. MR 188982
- Jack G. Ceder, Some generalizations of metric spaces, Pacific J. Math. 11 (1961), 105–125. MR 131860
- E. Michael, Yet another note on paracompact spaces, Proc. Amer. Math. Soc. 10 (1959), 309–314. MR 105668, DOI 10.1090/S0002-9939-1959-0105668-1
- Hisahiro Tamano, A characterization of paracompactness, Fund. Math. 72 (1971), no. 3, 189–201. MR 296897, DOI 10.4064/fm-72-3-189-201
- Hisahiro Tamano, On some characterizations of paracompactness, Topology Conference (Arizona State Univ., Tempe, Ariz., 1967) Arizona State Univ., Tempe, Ariz., 1968, pp. 277–285. MR 0238263
- 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
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 299-303
- MSC: Primary 54.50
- DOI: https://doi.org/10.1090/S0002-9939-1971-0273568-8
- MathSciNet review: 0273568