𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spaces with subparacompact completions

✍ Scribed by Phillip Zenor


Book ID
103096356
Publisher
Elsevier Science
Year
1973
Weight
909 KB
Volume
3
Category
Article
ISSN
0016-660X

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✦ Synopsis


If the completely regular space x' admits a quasi-perfect map onto :hz Dieudcrnne' complete semi-metric space Y, then SX, the Dieudonnb completion of X, is subparacompar-t; if in additinrl., 1" is a Moore space, then SX is a subparacompact p-space.


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Let X be a completely regular Hausdorff space, let E be a normed space, let C X E C X if E is scalars) be the space of all E-valued continuous functions on X, and let L X be the vector space of discrete measures on X. There is a natural duality between L X and C X . In this paper the completion of t