Cosimplicial versus DG-rings: a version of the Dold–Kan correspondence
@article{Castiglioni2003CosimplicialVD, title={Cosimplicial versus DG-rings: a version of the Dold–Kan correspondence}, author={Jos{\'e} L. Castiglioni and Guillermo Corti{\~n}as}, journal={Journal of Pure and Applied Algebra}, year={2003}, volume={191}, pages={119-142} }
14 Citations
Stacks and their function algebras.
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For T any abelian Lawvere theory, we establish a Quillen adjunction between model category structures on cosimplicial T -algebras and on simplicial presheaves over duals of T -algebras, whose left…
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For T any abelian Lawvere theory, we establish a Quillen adjunction between model category structures on cosimplicial T -algebras and on simplicial presheaves over duals of T -algebras, whose left…
ec 2 00 4 Cyclic structures for simplicial objects from comonads preliminary notes
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The simplicial endofunctor induced by a comonad in some category may underly a cyclic object in its category of endofunctors. The cyclic symmetry is then given by a sequence of natural…
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The motivic anabelian geometry of local heights on abelian varieties
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Monoidal Functors, Species, and Hopf Algebras
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This research monograph integrates ideas from category theory, algebra and combinatorics. It is organised in three parts. Part I belongs to the realm of category theory. It reviews some of the…
Cyclic structures for simplicial objects from comonads
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- 2004
The simplicial endofunctor induced by a comonad in some category may underly a cyclic object in its category of endofunctors. The cyclic symmetry is then given by a sequence of natural…
Homotopy theory of homotopy presheaves
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We develop a homotopy theory of (small) homotopy functors from a combinatorial model category to simplicial sets and give a version of the classical theorem by Dwyer and Kan on comparison of model…
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