@article{CTGDC_2003__44_4_281_0,
author = {Grandis, Marco},
title = {Directed homotopy theory, I},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
volume = {44},
year = {2003},
pages = {281-316},
mrnumber = {2030049},
zbl = {1059.55009},
language = {en},
url = {http://dml.mathdoc.fr/item/CTGDC_2003__44_4_281_0}
}
Grandis, Marco. Directed homotopy theory, I. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 44 (2003) pp. 281-316. http://gdmltest.u-ga.fr/item/CTGDC_2003__44_4_281_0/
[1] , Handbook of categorical algebra 1-3, Cambridge University Press, Cambridge 1994. | MR 1291599 | Zbl 0911.18001
[2] , Topologie générale, Ch. 10, Hermann, Paris 1961.
[3] , Topology, Ellis Horwood, Chichester 1988. | MR 984598 | Zbl 0655.55001
[4] - P.J. Higgins, On the algebra of cubes, J. Pure Appl. Algebra 21 (1981), 233-260. | MR 617135 | Zbl 0468.55007
[5] , Simplicial homotopy theory, Adv. Math. 6 (1971), 107-209. | MR 279808 | Zbl 0225.55002
[6] - - , Algebraic topology and concurrency, Preprint 1999. | MR 2242768
[7] , Homotopy invariants of higher dimensional categories and concurrency in computer science, Math. Struct. in Comp. Science 10 (2000), 481-524. | MR 1786472 | Zbl 0956.68097
[9] - , Topological deformation of higher dimensional automata, Preprint 2001. http://arXiv.org/abs/math.AT/0107060
[9] , Geometry and concurrency: a user's guide, in: Geometry and concurrency, Math. Structures Comput. Sci. 10 (2000), no. 4, pp. 411-425. | MR 1786469 | Zbl 0956.68517
[10] , Cubical homotopical algebra and cochain algebras, Ann. Mat. Pura Appl. 170 (1996) 147-186. | MR 1441618 | Zbl 0871.55016
[11] , Categorically algebraic foundations for homotopical algebra, Appl. Categ. Structures 5 (1997), 363-413. | MR 1478526 | Zbl 0906.55015
[12] , Higher fundamental functors for simplicial sets, Cahiers Topologie Géom. Diff. Catég. 42 (2001), 101-136. | Numdam | MR 1839359 | Zbl 1006.18014
[13] , Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency, Preprint 2001. http://www.dima.unige.it/~grandis/ | MR 1994944 | Zbl 1027.68140
[14] , Directed homotopy theory, II. Homotopy constructs, Dip. Mat. Univ. Genova, Preprint 446 (2001). http: / /www. dima. unige. it /-grandis / | MR 1921751 | Zbl 1034.55006
[15] - T. Porter, Abstract homotopy and simple homotopy theory, World Scientific Publishing Co., River Edge, NJ 1997. | MR 1464944 | Zbl 0890.55014
[16] , Abstract homotopy, II, Proc. Nat. Acad. Sci. U.S.A. 42 (1956), 255-258. | MR 79763 | Zbl 0071.16702
[17] , Bitopological spaces, Proc. London Math. Soc. 13 (1963), 71-89. | MR 143169 | Zbl 0107.16401
[18] , Metric spaces, generalized logic and closed categories, Rend-Sem. Mat. Fis. Univ. Milano 43 (1974), 135-166. | MR 352214 | Zbl 0335.18006
[19] , Categories for the working mathematician, Springer, Berlin 1971. | MR 1712872 | Zbl 0232.18001
[20] , Simplicial objects in algebraic topology, Van Nostrand, Princeton 1967. | MR 222892 | Zbl 0165.26004
[21] , Local compactness and Cartesian products of quotient maps and k-spaces, Ann. Inst. Fourier (Grenoble) 18, 2 (1968), 281-286. | Numdam | MR 244943 | Zbl 0175.19703
[22] , Higher dimensional automata revisited, Math. Struct. in Comp. Science 10 (2000), 525-548. | MR 1786473 | Zbl 0956.68090
[23] , Homotopical algebra, Lecture Notes in Mathematics 43, Springer, Berlin 1967. | MR 223432 | Zbl 0168.20903
[24] , Elements of homotopy theory, Springer, Berlin 1978. | MR 516508 | Zbl 0406.55001