Geodesic
On Screenability and Metrizability of Moore Spaces
Canadian journal of mathematics, Tome 23 (1971) no. 6, pp. 1087-1092

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

After showing that each screenable Moore space is pointwise paracompact and that the converse is not true, Heath in [4] asked for a necessary and sufficient condition for a pointwise paracompact Moore space to be screenable. In [12], Traylor asked for a necessary and sufficient condition for a pointwise paracompact Moore space to be metrizable. It is the purpose of this paper to provide such conditions, and to establish relationships between those conditions and metrization problems in Moore spaces.A Moore space S is a space (all spaces are T 1) in which there exists a sequence G = (G 1, G 2, ...) of open coverings of S, called a development, which satisfies the first three parts of Axiom I in [7]. The statement that a collection H of subsets of the space S is point finite (point countable) means that no point of S belongs to infinitely (uncountably) many elements of H. 
Reed, G. M. On Screenability and Metrizability of Moore Spaces. Canadian journal of mathematics, Tome 23 (1971) no. 6, pp. 1087-1092. doi: 10.4153/CJM-1971-113-3
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