The homotopy theory of complete modules
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2021.11.030
Abstract: Given a commutative ring $R$ and finitely generated ideal $I$, one can consider the classes of $I$-adically complete, $L_0^I$-complete and derived $I$-complete complexes. Under a mild assumption on the ideal $I$ called weak pro-regularity, these… read more here.
Keywords: homotopy theory; theory complete; complete complexes; complete modules ... See more keywords
Homotopy theory of complete Lie algebras and Lie models of simplicial sets
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Topology"
DOI: 10.1112/topo.12073
Abstract: In a previous work, by extending the classical Quillen construction to the non-simply connected case, we have built a pair of adjoint functors, 'model' and 'realization', between the categories of simplicial sets and complete differential… read more here.
Keywords: homotopy theory; lie algebras; simplicial sets; algebras lie ... See more keywords