W. James and . Alexander, The combinatorial theory of complexes, Annals of Mathematics, pp.292-320, 1930.

P. Alexandroff and H. Hopf, Topologie I: Erster Band. Grundbegriffe der Mengentheoretischen Topologie Topologie der Komplexe· Topologische Invarianzsätze und Anschliessende Begriffsbildungen· Verschlingungen im n-Dimensionalen Euklidischen Raum Stetige Abbildungen von Polyedern, 2013.
DOI : 10.1007/978-3-662-02021-0

P. S. Alexandrov, Diskrete räume, Mat. Sb, vol.2, issue.44, pp.501-519, 1937.

J. Aubin-andhéì-ene-frankowska, Set-valued analysis, 2009.

G. Bertrand, New Notions for Discrete Topology, Discrete Geometry for Computer Imagery, pp.218-228, 1999.
DOI : 10.1007/3-540-49126-0_17

URL : https://hal.archives-ouvertes.fr/hal-00621992

G. Bertrand, J. Everat, and M. Couprie, Topological approach to image segmentation, SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation International Society for Optics and Photonics, pp.65-76, 1996.
URL : https://hal.archives-ouvertes.fr/hal-00622005

G. Bertrand, J. Everat, and M. Couprie, Image segmentation through operators based on topology, Journal of Electronic Imaging, vol.6, issue.4, pp.395-405, 1997.
DOI : 10.1117/12.276856

S. Beucher and F. Meyer, The morphological approach to segmentation: the watershed transformation, Optical Engineering, vol.34, pp.433-433, 1992.

N. Boutry, T. Géraud, and L. Najman, How to Make nD Functions Digitally Well-Composed in a Self-dual Way, International Symposium on Mathematical Morphology and Its Applications to Signal and Image Processing, pp.561-572, 2015.
DOI : 10.1007/978-3-319-18720-4_47

URL : https://hal.archives-ouvertes.fr/hal-01168723

X. Daragon, Surfaces discrètes etfrontì eres d'objets dans les ordres, 2005.

V. Alexander, R. Evako, . Kopperman, V. Yurii, and . Mukhin, Dimensional properties of graphs and digital spaces, Journal of Mathematical Imaging and Vision, vol.6, issue.2-3, pp.109-119, 1996.

F. John and . Hudson, Piecewise linear topology, 1969.

L. John and . Kelley, General topology. the university series in higher mathematics, 1955.

E. Khalimsky, R. Kopperman, R. Paul, and . Meyer, Computer graphics and connected topologies on finite ordered sets, Topology and its Applications, vol.36, issue.1, pp.1-17, 1990.
DOI : 10.1016/0166-8641(90)90031-V

L. Latecki, Well-composed sets, ADVANCES IN IMAGING AND ELECTRON PHYSICS, vol.112, issue.112, pp.95-163, 2000.
DOI : 10.1016/S1076-5670(00)80028-2

W. Bernard and R. Lickorish, Simplicial moves on complexes and manifolds. Geometry and Topology Monographs, pp.299-320314, 1999.

L. Mazo, N. Passat, M. Couprie, and C. Ronse, Digital Imaging: A Unified Topological Framework, Journal of Mathematical Imaging and Vision, vol.32, issue.9, pp.19-37, 2012.
DOI : 10.1007/s10851-011-0308-9

URL : https://hal.archives-ouvertes.fr/hal-00622529

F. Meyer, Skeletons and perceptual graphs, Signal Processing, vol.16, issue.4, pp.335-363, 1989.
DOI : 10.1016/0165-1684(89)90030-3

L. Najman and T. Géraud, Discrete Set-Valued Continuity and Interpolation, Mathematical Morphology and Its Applications to Signal and Image Processing, pp.37-48, 2013.
DOI : 10.1007/978-3-642-38294-9_4

URL : https://hal.archives-ouvertes.fr/hal-00798574