Geodesic
Some Results on Weak Covering Conditions
Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1152-1156

Voir la notice de l'article provenant de la source Cambridge University Press

A space X is called countdbly metacompact (countably paracompact) if every countable open cover has a point finite (locally finite) open refinement. According to Hodel [5], a space X is called countably subparacompact if every countable open cover has a σ-discrete closed refinement. It is well-known (see Mansfield [10] and Dowker [4]) that in normal spaces all of the preceding notions are equivalent. Also, according to Hodel [5], a countably subparacompact space is countably metacompact and the reverse implication is false. 
Gittings, Raymond F. Some Results on Weak Covering Conditions. Canadian journal of mathematics, Tome 26 (1974) no. 5, pp. 1152-1156. doi: 10.4153/CJM-1974-107-5
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[1] 1. Borges, Carlos J. R., On metrizability of topological spaces, Can. J. Math. 20 (1968), 795–804. Google Scholar

[2] 2. Burke, D. K., On subparacompact spaces, Proc. Amer. Math. Soc. 23 (1969), 655–663. Google Scholar

[3] 3. Burke, D. K., Subparacompact spaces, Proceedings of the Washington State University Conference on General Topology (1970), 39-49. Google Scholar

[4] 4. Dowker, C. H., On countably paracompact spaces, Can. J. Math 3 (1951), 219–224. Google Scholar

[5] 5. Hodel, R. E., A note on subparacompact spaces, Proc. Amer. Math. Soc. 25 (1970), 842–845. Google Scholar

[5] 5. Hodel, R. E., Spaces defined by sequences of open covers which guarantee that certain sequences have cluster points, Duke Math. J. 39 (1972), 253–262. Google Scholar

[7] 7. Ishii, T., On wM-spaces. I, Proc. Japan Acad. 46 (1970), 5–10. Google Scholar

[8] 8. Ishikawa, F., On countably paracompact spaces, Proc. Japan Acad. 31 (1955), 686–687. Google Scholar

[9] 9. Kramer, T. R., Countably subparacompact spaces (to appear). Google Scholar

[10] 10. Mansfield, M.J., On countably paracompact normal spaces, Can. J. Math. 9 (1957), 443–449. Google Scholar

[11] 11. Singal, M. K. and Jain, P., On subparacompact and countably subparacompact spaces, Bull. Austral. Math. Soc. 5 (1971), 289–304. Google Scholar

[12] 12. Shiraki, T., A note on M-spaces, Proc. Japan Acad. 43 (1967), 873–875. Google Scholar

[13] 13. Worrell, J. M., Jr., and Wicke, H. H., Characterizations of developable spaces, Can. J. Math. 17 (1965), 820–830. Google Scholar

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