@article{CTGDC_2005__46_1_53_0,
author = {Grandis, Marco},
title = {Equilogical spaces, homology and non-commutative geometry},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
volume = {46},
year = {2005},
pages = {53-80},
mrnumber = {2131961},
zbl = {1081.18011},
language = {en},
url = {http://dml.mathdoc.fr/item/CTGDC_2005__46_1_53_0}
}
Grandis, Marco. Equilogical spaces, homology and non-commutative geometry. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 46 (2005) pp. 53-80. http://gdmltest.u-ga.fr/item/CTGDC_2005__46_1_53_0/
[1] - - , Equilogical spaces, Theoretical Computer Science, to appear. | MR 2072989 | Zbl 1059.18004
[2] - - - , Type theory via exact categories, in: Thirteenth Annual IEEE Symposium on Logic in Computer Science (Indianapolis, IN, 1998), 188-198, IEEE Computer Soc., Los Alamitos, CA, 1998. | MR 1659606 | Zbl 0945.03542
[3] , Topology, Ellis Horwood, Chichester, 1988. | MR 984598 | Zbl 0655.55001
[4] - , Locally cartesian closed exact completions, J. Pure Appl. Algebra 154 (2000) 103-116. | MR 1787592 | Zbl 0962.18001
[5] - , Regular and exact completions, J. Pure Appl. Algebra 125 (1998), 79-116. | MR 1600009 | Zbl 0891.18002
[6] , Noncommutative geometry, Academic Press, San Diego CA 1994. | MR 1303779 | Zbl 0818.46076
[7] , A short survey of noncommutative geometry, J. Math. Physics 41 (2000), 3832-3866. | MR 1768641 | Zbl 0974.58008
[8] - , Acyclic models, Amer. J. Math. 75 (1953), 189-199. | Zbl 0050.17205
[9] - , Foundations of algebraic topology, Princeton Univ. Press 1952. | MR 50886 | Zbl 0047.41402
[10] - , Topologies on spaces of continuous functions, Topology Proc. 26 No. 2, (2001-02), 545-564. | MR 2032837 | Zbl 1083.54009
[11] , Homotopical algebra in homotopical categories, Appl. Categ. Structures 2 (1994), 351-406. | MR 1300721 | Zbl 0826.55015
[12] , Directed combinatorial homology and noncommutative tori (The breaking of symmetries in algebraic topology), Math. Proc. Cambridge Philos. Soc., to appear. [Dip. Mat. Univ. Genova, Preprint 480 (2003).] | MR 2132167 | Zbl 1068.55004
[13] , Equilogical spaces, homology and noncommutative geometry, Dip. Mat. Univ. Genova, Preprint 493 (2003).
[14] - S. Wylie, Homology theory, Cambridge Univ. Press, Cambridge 1962. | Zbl 0091.36306
[15] , Homology, Springer, Berlin 1963. | MR 1344215 | Zbl 0818.18001
[16] , Categories for the working mathematician, Springer 1971. | MR 1712872 | Zbl 0906.18001
[17] , Singular homology theory, Springer, Berlin 1980. | MR 569059 | Zbl 0442.55001
[18] - , Imbedding the irrational rotation C*-algebra into an AF-algebra, J. Operator Th. 4 (1980), 93-118. | MR 587369 | Zbl 0525.46031
[19] , C*-algebras associated with irrational rotations, Pacific J. Math. 93 (1981), 415-429. | MR 623572 | Zbl 0499.46039
[20] , Cartesian closed exact completions, J. Pure Appl. Algebra 142 (1999), 261-270. | MR 1721095 | Zbl 0937.18003
[21] , Equilogical spaces and filter spaces, Categorical studies in Italy (Perugia, 1997). Rend. Circ. Mat. Palermo (2) Suppl. No. 64, (2000), 157-175. | MR 1785818 | Zbl 0962.18002
[22] , A new category? Domains, spaces and equivalence relations, Unpublished manuscript (1996). http://www.cs. cmu. edu / Groups / LTC /
[23] , Algebraic topology - homotopy and homology, Springer, Berlin 1975. | MR 385836 | Zbl 1003.55002