, Bounding the piercing number, Discrete & Computational Geometry, vol.26, issue.3-4, pp.245-256, 1995.
DOI : 10.1007/BF02574042
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.2056
, Helly-type theorems and Generalized Linear Programming, Discrete & Computational Geometry, vol.4, issue.no. 1, pp.241-261, 1994.
DOI : 10.1007/BF02574379
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.2.4035
, A short proof of an interesting helly-type theorem, Discrete & Computational Geometry, vol.15, issue.4, pp.423-427, 1996.
DOI : 10.1007/BF02711517
, Inclusion-Exclusion Formulas from Independent Complexes, Discrete & Computational Geometry, vol.37, issue.1, pp.59-77, 2007.
DOI : 10.1007/s00454-006-1274-7
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.508.640
, Efficient data structure for representing and simplifying simplicial complexes in high dimensions, Proceedings of the 27th Annual ACM Symposium on Computational Geometry, pp.501-509, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00785082
, Vietoris-Rips complexes also provide topologically correct reconstructions of sampled shapes, Proceedings of the 27th Annual ACM Symposium on Computational Geometry, pp.491-500, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00579864
, Line transversals to disjoint balls, Discrete & Computational Geometry, pp.1-3158, 2008.
DOI : 10.1145/1247069.1247115
URL : https://hal.archives-ouvertes.fr/inria-00176201
, On the imbedding of systems of compacta in simplicial complexes, Fundamenta Mathematicae, vol.35, pp.217-234, 1948.
, Differential forms in algebraic topology, Graduate Texts in Mathematics, vol.82, 1982.
DOI : 10.1007/978-1-4757-3951-0
, Sheaf theory, Graduate Texts in Mathematics, vol.170, 1997.
DOI : 10.1007/978-1-4612-0647-7
, Towards persistence-based reconstruction in euclidean spaces, Proceedings of the twenty-fourth annual symposium on Computational geometry , SCG '08, pp.232-241, 2008.
DOI : 10.1145/1377676.1377719
URL : https://hal.archives-ouvertes.fr/inria-00197543
, Lower bounds to helly numbers of line transversals to disjoint congruent balls, Israel Journal of Mathematics, vol.4, issue.3, 2012.
DOI : 10.1007/s11856-011-0179-1
URL : https://hal.archives-ouvertes.fr/inria-00518035
, Geometric permutations of disjoint unit spheres Computational Geometry: Theory & Applications Helly numbers of acyclic families, pp.253-270, 2005.
, Helly???s theorem and its relatives, Convexity, Proceedings of Symposia in Pure Mathematics, pp.101-180, 1963.
DOI : 10.1090/pspum/007/0157289
, Topological estimation using witness complexes, IEEE Symposium on Point-Based Graphics, pp.157-166, 2004.
, Helly Type Theorems Derived From Basic Singular Homology, The American Mathematical Monthly, vol.77, issue.4, pp.375-380, 1970.
DOI : 10.2307/2316144
, Helly, Radon, and Carath??odory Type Theorems, Handbook of Convex Geometry, pp.389-448, 1993.
DOI : 10.1016/B978-0-444-89596-7.50017-1
, Morris's pigeonhole principle and the Helly theorem for unions of convex sets, Bulletin of the London Mathematical Society, vol.41, issue.4, pp.577-588, 2009.
DOI : 10.1112/blms/bdp024
, Triangulating Topological Spaces, International Journal of Computational Geometry & Applications, vol.07, issue.04, pp.365-378, 1997.
DOI : 10.1142/S0218195997000223
, Group actions and Helly's theorem, Advances in Mathematics, vol.222, issue.5, pp.1574-1588, 2009.
DOI : 10.1016/j.aim.2009.06.004
URL : http://doi.org/10.1016/j.aim.2009.06.004
, Topologie algébrique et théorie des faisceauxTroisì emé edition revue et corrigée, Publications de l, 1252.
, Simplicial homotopy theory, Progress in Mathematics, vol.174, 1999.
DOI : 10.1007/978-3-0346-0189-4
, Vanishing cohomology of singularities of mappings, Compositio Mathematica, vol.89, issue.1, pp.45-80, 1993.
, Lectures on Algebraic Topology, 1967.
, On Components in Some Families of Sets, Proceedings of the, pp.607-613, 1961.
DOI : 10.2307/2034254
, Algebraic topology, 30] E. Helly. ¨ Uber Systeme von abgeschlossenen Mengen mit gemeinschaftlichen Punkten. Monatshefte für Mathematik und Physik, pp.175-176281, 1923.
, Recent progress on line transversals to families of translated ovals, Computational Geometry -Twenty Years Later, pp.283-298, 2008.
DOI : 10.1090/conm/453/08803
, Intersections of Leray complexes and regularity of monomial ideals, Journal of Combinatorial Theory, Series A, vol.113, issue.7, pp.1586-1592, 2006.
DOI : 10.1016/j.jcta.2006.01.005
, Leray numbers of projections and a topological Helly-type theorem, Journal of Topology, vol.26, issue.3, pp.551-556, 2008.
DOI : 10.1112/jtopol/jtn010
, Sheaves on manifolds, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1990.
DOI : 10.1007/978-3-662-02661-8
, Using the Borsuk-Ulam Theorem, 2003.
DOI : 10.1007/978-3-540-76649-0
, A Helly-Type Theorem for Unions of Convex Sets, Discrete & Computational Geometry, vol.18, issue.1, pp.1-12, 1997.
DOI : 10.1007/PL00009305
, Simplicial objects in algebraic topology, Chicago Lectures in Mathematics, 1992.
, Two pigeon hole principles and unions of convexly disjoint sets, 1973.
, Un theorema sobre conjuntos de paralelepipedos de aristas paralelas, Publ. Inst. Mat. Univ. Nat. Litoral, vol.2, pp.49-60, 1940.
, Algebraic topology, 1966.
DOI : 10.1007/978-1-4684-9322-1
, f-vectors and h-vectors of simplicial posets, Journal of Pure and Applied Algebra, vol.71, issue.2-3, pp.319-331, 1991.
DOI : 10.1016/0022-4049(91)90155-U
, Proof of gr??nbaum's conjecture on common transversals for translates, Discrete & Computational Geometry, vol.54, issue.3, pp.191-203, 1989.
DOI : 10.1007/BF02187722
, Helly-Type Theorems and Geometric Transversals, Handbook of Discrete & Computational Geometry, pp.73-96, 2004.
DOI : 10.1201/9781420035315.ch4
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.1878
, Geometric permutations of balls with bounded size disparity, Computational Geometry, vol.26, issue.1, pp.3-20, 2003.
DOI : 10.1016/S0925-7721(02)00169-4