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The dimension of the kernel in an intersection of starshaped sets

✍ Scribed by M. Breen


Publisher
Springer
Year
2003
Tongue
English
Weight
135 KB
Volume
81
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


An intersection property for starshaped
✍ Marilyn Breen πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 451 KB

Let ~-be a family of compact starshaped sets in the plane. If every three and every two members of ~ have a union which is connected and simply connected, then N {F: F in ~} is simply connected and nonempty. Of course, if every three and every two members of ~-have a starshaped union, the same resul

Metric dimension of the intersections of
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In this paper we improve the construction of Goto (1993) to obtain the Main Theorem: Let n, m and k be arbitrary integers such that 0 < m < n -1 3 1 and m < k < min{2m, n -1). Then there exists a point set Xk,, in Euclidean n-space IR" such that (i) pdimX& = m and dimXk,, = k, (ii) pdim(X& n H) = m