The dimension of the kernel in an intersection of starshaped sets
β Scribed by M. Breen
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 135 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0003-889X
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π SIMILAR VOLUMES
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
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