Towards digital cohomology

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2886, Issue , 2003, Pages 92-101

  Gonzalez Diaz, Rocio ^a   Real, Pedro ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

Chain complexes; Cohomology ring; Digital topology

Indexed keywords

BINS; SOFTWARE TESTING; THREE DIMENSIONAL COMPUTER GRAPHICS;

CHAIN COMPLEXES; COHOMOLOGY; COHOMOLOGY RING; DIGITAL PICTURE; DIGITAL TOPOLOGY; GRID POINTS; NEIGHBOURHOOD SYSTEMS; SIMPLICIAL COMPLEX;

TOPOLOGY;

EID: 0242628755     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-39966-7_8     Document Type: Article

References (15)

1. Ayala R., Domínguez E., Francés A.R., Quintero A.: Homotopy in Digital Spaces. DGCI 2000 LNCS, Springer-Verlag 1953 (2000) 3-14
2. Berrio J.M., González-Díaz R., Leal F., López M.M., Real P.: Visualizing Cohomology Aspects of 3D Objects. Proc. of the 6th Asian Tech. Conf. in Math. (2001) 459-468.
3. Björner A.: Topological Methods. Handbook on Combinatorics. Elsevier Sci., 2 (1995) 1819-1872
4. Delfinado C.J.A., Edelsbrunner H.: An Incremental Algorithm for Betti Numbers of Simplicial Complexes on the 3-Sphere. Comput. Aided Geom. Design 12 (1995) 771-784
5. Forman R.: Combinatorial Differential Topology and Geometry. New Perspective in Geom. Combinatorics. MSRI Public. 8 (1999) 177-206
6. González-Díaz R., Real P.: Computation of Cohomology Operations on Finite Simplicial Complexes. Homology, Homotopy and Applications 5 (2) (2003) 83-93
7. González-Díaz R., Real P.: Geometric Objects and Cohomology Operations. Proc. of the 5th Workshop on Computer Algebra in Scientific Computing (2002) 121-130
8. Kenmochi Y., Imiya A.: Discrete Polyhedrization of Lattice Point Set. Digital and Image Geometry, LNCS, Springer-Verlag 2243 (2001) 150-162
9. Khalimsky E.D., Kopperman R.D., Meyer P.R.: Computer Graphics and Connected Topologies on Finite Ordered Sets. Topology and Appl. 36 (1990) 1-17
10. Kong T.Y.: A digital Fundamental Group. Comput. Graphics 13 (1989) 159-166
11. Kong T.Y., Roscoe A.W., Rosenfeld A.: Concepts of Digital Topology. Topology and its Applications 8 (1992) 219-262
12. MacLane S.: Homology. Classic in Math., Springer-Verlag (1995)
13. Kovalevsky V.A.: Discrete Topology and Contour Definition. Pattern Recognition Letter 2 (1984) 281-288
14. Munkres J.R.: Elements of Algebraic Topology. Addison-Wesley Co. (1984)
15. Rosenfeld A.: 3D Digital Topology. Inform. and Control 50 (1981) 119-127