Homology of Cellular Structures Allowing Multi-incidence

Author:

Alayrangues Sylvie,Damiand Guillaume,Lienhardt Pascal,Peltier Samuel

Publisher

Springer Science and Business Media LLC

Subject

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

Reference62 articles.

1. Agoston, M.K.: Algebraic Topology: A First Course. Pure and Applied Mathematics. Marcel Dekker Ed., New York (1976)

2. Alayrangues, S., Damiand, G., Lienhardt, P., Peltier, S.: A boundary operator for computing the homology of cellular structures. Research Report 2012–1, XLIM-Sic Laboratory, University of Poitiers, France. http://hal.archives-ouvertes.fr/hal-00683031 (2011). Accessed 12 Mar 2014

3. Alayrangues, S., Daragon, X., Lachaud, J.-O., Lienhardt, P.: Equivalence between closed connected $$n$$ n - $$G$$ G -maps without multi-incidence and n-surfaces. J. Math. Imaging Vis. 32(1), 1–22 (2008)

4. Alayrangues, S., Lienhardt, P., Peltier, S.: Conversion between chains of maps and chains of surfaces; application to the computation of incidence graphs homology. Research Report, Université de Poitiers. https://hal.archives-ouvertes.fr/hal-01130543 (2015). Accessed 12 Mar 2014

5. Alayrangues, S., Peltier, S., Damiand, G., Lienhardt, P.: Border operator for generalized maps. In: Brlek, S., Reutenauer, C., Provençal, X. (eds.) Discrete Geometry for Computer Imagery. Lecture Notes in Computer Science, vol. 5810, pp. 300–312. Springer, Berlin/Heidelberg (2009)

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1. Topological Computing of Arrangements with (Co)Chains;ACM Transactions on Spatial Algorithms and Systems;2021-03-31

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