Dec 14, 2006 · Abstract: We prove that the set of directions of lines intersecting three disjoint balls in R^3 in a given order is a strictly convex subset ...

Oct 2, 2007 · ABSTRACT. We prove that the set of directions of lines intersecting three disjoint balls in R3 in a given order is a strictly convex sub-.

Sep 11, 2007 · We prove that the set of directions of lines intersecting three disjoint balls in ℝ3 in a given order is a strictly convex subset of S 2 .

Dec 14, 2006 · Abstract. We prove that the set of directions of lines intersecting three disjoint balls in R3 in a given order is a strictly convex subset ...

Jun 6, 2007 · We prove that the set of directions of lines intersecting three disjoint balls in R3 in a given order is a strictly convex subset of S2.

Abstract. We prove that the set of directions of lines intersecting three disjoint balls in $R^3$ in a given order is a strictly convex subset of $S^2$.

We show that a set of n disjoint unit spheres in ℝ d admits at most two distinct geometric permutations, or line transversals, if n is large enough. This bound ...

Sep 28, 2008 · 'Line Transversals to Disjoint Balls' published in 'Twentieth Anniversary Volume:'

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We prove Helly-type theorems for line transversals to disjoint unit balls in Rd. In particular, we show that a family of n ⩾ 2d disjoint unit balls in Rd ...