The Shrinking Property
Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 385-388

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A space has the shrinking property if, for every open cover {Va | a ∈ A}, there is an open cover {Wa | a ∈ A} with for each a ∈ A.lt is strangely difficult to find an example of a normal space without the shrinking property. It is proved here that any ∑-product of metric spaces has the shrinking property.
DOI : 10.4153/CMB-1983-064-x
Mots-clés : 54D20, 54D18, shrinking, normal, paracompact, Dowker
Rudin, Mary Ellen. The Shrinking Property. Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 385-388. doi: 10.4153/CMB-1983-064-x
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     title = {The {Shrinking} {Property}},
     journal = {Canadian mathematical bulletin},
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     number = {4},
     doi = {10.4153/CMB-1983-064-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-064-x/}
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