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shrinking

Last-modified: 2010-12-26 (日) 00:44:10

Definition Edit

A topological space is said to be a shrinking space if every open cover admits a shrinking.
A shrinking of an open cover is another open cover indexed by the same indexing set, with the property that the closure of each open set in the shrinking lies inside the corresponding original open set.

Property Edit

Reference Edit

http://en.wikipedia.org/wiki/Shrinking_space