Document Zbl 1375.18073 - zbMATH Open
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Three homotopy theories for cyclic modules. (English) Zbl 1375.18073
MSC:
| 18G35 | Chain complexes (category-theoretic aspects), dg categories |
| 19D55 | \(K\)-theory and homology; cyclic homology and cohomology |
| 55U15 | Chain complexes in algebraic topology |
| 55U35 | Abstract and axiomatic homotopy theory in algebraic topology |
References:
| [1] | Brown, K. S., Abstract homotopy theory and generalized sheaf cohomology, Trans. AMS, 186, 419-458 (1974) · Zbl 0245.55007 |
| [2] | D. Burghelea, Cyclic homology and algebraic \(K\); D. Burghelea, Cyclic homology and algebraic \(K\) · Zbl 0615.55009 |
| [3] | Connes, A., Cyclic homology and functors \(Ext^n\), C.R. Acad. Sci. Paris, 296, 953-958 (1983) · Zbl 0534.18009 |
| [4] | Dwyer, W. G.; Hopkins, M. J.; Kan, D. M., The homotopy theory of cyclic sets, Trans. A.M.S., 291, 281-289 (1985) · Zbl 0594.55020 |
| [5] | Dwyer, W. G.; Kan, D. M., Function complexes in homotopical algebra, Topology, 19, 427-440 (1980) · Zbl 0438.55011 |
| [6] | Dwyer, W. G.; Kan, D. M., Normalizing the cyclic modules of Connes, Comment. Math. Helvetici, 60, 582-600 (1985) · Zbl 0593.18010 |
| [7] | C. Kassel, Cyclic homology, comodules and mixed complexes, Preprint.; C. Kassel, Cyclic homology, comodules and mixed complexes, Preprint. · Zbl 0617.16015 |
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