@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},
pages = {53--80},
year = {2005},
publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
volume = {46},
number = {1},
mrnumber = {2131961},
zbl = {1081.18011},
language = {en},
url = {https://www.numdam.org/item/CTGDC_2005__46_1_53_0/}
}
TY - JOUR AU - Grandis, Marco TI - Equilogical spaces, homology and non-commutative geometry JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 2005 SP - 53 EP - 80 VL - 46 IS - 1 PB - Dunod éditeur, publié avec le concours du CNRS UR - https://www.numdam.org/item/CTGDC_2005__46_1_53_0/ LA - en ID - CTGDC_2005__46_1_53_0 ER -
%0 Journal Article %A Grandis, Marco %T Equilogical spaces, homology and non-commutative geometry %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 2005 %P 53-80 %V 46 %N 1 %I Dunod éditeur, publié avec le concours du CNRS %U https://www.numdam.org/item/CTGDC_2005__46_1_53_0/ %G en %F 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) no. 1, pp. 53-80. https://www.numdam.org/item/CTGDC_2005__46_1_53_0/
[1] - - , Equilogical spaces, Theoretical Computer Science, to appear. | Zbl | MR
[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. | Zbl | MR
[3] , Topology, Ellis Horwood, Chichester, 1988. | Zbl | MR
[4] - , Locally cartesian closed exact completions, J. Pure Appl. Algebra 154 (2000) 103-116. | Zbl | MR
[5] - , Regular and exact completions, J. Pure Appl. Algebra 125 (1998), 79-116. | Zbl | MR
[6] , Noncommutative geometry, Academic Press, San Diego CA 1994. | Zbl | MR
[7] , A short survey of noncommutative geometry, J. Math. Physics 41 (2000), 3832-3866. | Zbl | MR
[8] - , Acyclic models, Amer. J. Math. 75 (1953), 189-199. | Zbl
[9] - , Foundations of algebraic topology, Princeton Univ. Press 1952. | Zbl | MR
[10] - , Topologies on spaces of continuous functions, Topology Proc. 26 No. 2, (2001-02), 545-564. | Zbl | MR
[11] , Homotopical algebra in homotopical categories, Appl. Categ. Structures 2 (1994), 351-406. | Zbl | MR
[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).] | Zbl | MR
[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
[15] , Homology, Springer, Berlin 1963. | Zbl | MR
[16] , Categories for the working mathematician, Springer 1971. | Zbl | MR
[17] , Singular homology theory, Springer, Berlin 1980. | Zbl | MR
[18] - , Imbedding the irrational rotation C*-algebra into an AF-algebra, J. Operator Th. 4 (1980), 93-118. | Zbl | MR
[19] , C*-algebras associated with irrational rotations, Pacific J. Math. 93 (1981), 415-429. | Zbl | MR
[20] , Cartesian closed exact completions, J. Pure Appl. Algebra 142 (1999), 261-270. | Zbl | MR
[21] , Equilogical spaces and filter spaces, Categorical studies in Italy (Perugia, 1997). Rend. Circ. Mat. Palermo (2) Suppl. No. 64, (2000), 157-175. | Zbl | MR
[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. | Zbl | MR






