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.
Rudin, Mary Ellen. The Shrinking Property. Canadian mathematical bulletin, Tome 26 (1983) no. 4, pp. 385-388. doi: 10.4153/CMB-1983-064-x
@article{10_4153_CMB_1983_064_x,
author = {Rudin, Mary Ellen},
title = {The {Shrinking} {Property}},
journal = {Canadian mathematical bulletin},
pages = {385--388},
year = {1983},
volume = {26},
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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