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arXiv · 1409.2899

Strong General Position

Micha A. Perles·Moriah Sigron
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Abstract

We say that a finite set S of points in R^d is in "strong general position" if for any collection {F_1,..., F_r} of r pairwise disjoint subsets of S (1 <= r <= |S|) we have: d-dim (the intersection of aff F_1,aff F_2,...,aff F_r) = min{d+1, (d-dim aff F_1)+(d-dim aff F_2)+...+(d-dim aff F_r)}. In this paper we reduce the set of conditions that one has to check in order to determine if S is in "strong general position".

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Micha A. Perles, Moriah Sigron. 2014-09-09. Strong General Position. https://arxiv.org/abs/1409.2899

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