upper semicontinuous decomposition

upper semicontinuous decomposition

[′əp·ər ¦sem·i·kən′tin·yə·wəs dē‚käm·pə′zish·ən]
(mathematics)
A partition of a topological space with the property that for every member D of the partition and for every open set U containing D there is an open set V containing D which is contained in U and is the union of members of the partition.
References in periodicals archive ?
Daverman covers the preliminaries in terms of elementary properties of upper semicontinuous decompositions, upper semicontinuous decompositions, proper maps and monotome decompositions, the shrinkabilty criterion, cell-like decompositions of absolute neighborhood retracts, the cell-like approximation theorem, shrinkable decompositions, nonshrinkable decompositions, and applications to manifolds.
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