A New Topological Helly Theorem and Some Transversal Results

Author:

Montejano Luis

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference11 articles.

1. Bárány, I., Matoušek, J.: Berge’s theorem, fractional Helly and art galleries. Discrete Math. 106, 198–215 (1994)

2. Berge, C.: Sur une propriété combinatoire des ensembles convexes. C. R. Acad. Sci., Paris 248, 2698–2699 (1959)

3. Bogatyi, S.A.: Topological Helly theorem. Fundam. Prikl. Mat. 8(2), 365–405 (2002)

4. Bracho, J., Montejano, L., Oliveros, D.: The topology of the space of transversals through the space of configurations. Topology Appl. 120(1–2), 92–103 (2002)

5. Breen, M.: Starshaped unions and nonempty intersections of convex sets in $$\mathbb{R}^{d}$$ R d . Proc. Am. Math. Soc. 108, 817–820 (1990)

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