In this work we study a relative Chebyshev center of K with respect to Y, where K is a closed bounded convex subset of a Hilbert space X, and Y is a closed convex subset of X. Some results of Amir and Mach [J. Approx. Theory 40, (1984), 364 374] are extended. ## 1997 Academic Press We use the foll
Some Remarks on a Relative Anti-Closure Property
β Scribed by A. A. Mullin
- Publisher
- John Wiley and Sons
- Year
- 1961
- Tongue
- English
- Weight
- 263 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
SOME REMARKS ON A RELATIVE AXTI-CLOSURE PROPERTY ')
by A. A. MULLIN in Urbana, Illinois (U. S.A.
π SIMILAR VOLUMES
A space X has property (a) if for every open cover U of X and for each dense D β X there is a closed discrete F β D such that St(F, U) = X. In this paper, the relationship between property (a) and normality is investigated. A consistent example of a normal space without property (a) is constructed.
We observe that the well-monotone (open covering) quasiuniformity of each topological space is left K-complete. On the other hand, we exhibit an example of a topological space the fine quasiuniformity of which is not D-complete. The semicontinuous quasiuniformity of a countably metacompact space X i