Examples of $B(D,\lambda )$-refinable and weak $\overline \theta$-refinable spaces
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- by Stephen H. Fast and J. C. Smith PDF
- Trans. Amer. Math. Soc. 347 (1995), 1803-1809 Request permission
Abstract:
In 1980, J. C. Smith asked for examples which would demonstrate the relationships between the properties $B(D,\lambda )$-refinability, $B(D,{\omega _0})$-refinability, and weak $\bar \theta$-refinability. This paper gives such examples in the class of ${T_4}$ spaces.References
- R. H. Bing, Metrization of topological spaces, Canad. J. Math. 3 (1951), 175β186. MR 43449, DOI 10.4153/cjm-1951-022-3
- James R. Boone, Some characterizations of paracompactness in $k$-spaces, Fund. Math. 72 (1971), no.Β 2, 145β153. MR 295291, DOI 10.4064/fm-72-2-145-153
- Ernest Michael, Point-finite and locally finite coverings, Canadian J. Math. 7 (1955), 275β279. MR 70147, DOI 10.4153/CJM-1955-029-6 R. H. Price, The property $B(P,\alpha )$-refinability and its relationship to generalized paracompact topological spaces, Ph.D. dissertation, Virginia Polytechnic Inst. and State Univ., 1987.
- J. C. Smith, Irreducible spaces and property b\romsub{1}, Topology Proc. 5 (1980), 187β200 (1981). MR 624471
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 347 (1995), 1803-1809
- MSC: Primary 54D20; Secondary 54G20
- DOI: https://doi.org/10.1090/S0002-9947-1995-1260165-1
- MathSciNet review: 1260165