" Ha habido muy pocas exposiciones sistemáticas de la teoría de las categorías derivadas
desde su inicio en el trabajo de Grothendieck y Verdier en la década de 1960. Este libro es …

Category theory provides structure for the mathematical world and is seen everywhere in
modern mathematics. With this book, the author bridges the gap between pure category …

We prove that every stable, presentable model category can be enriched in a natural way
over symmetric spectra. As a consequence of the general theory, every object in such a …

A differential graded algebra can be viewed as an A∞-algebra. By a theorem of Kadeishvili,
a dga over a field admits a quasi-isomorphism from a minimal A∞-algebra. We introduce the …

The paper gives a new proof that the model categories of stable modules for the rings ℤ∕ p
2 and ℤ∕ p [ϵ]∕(ϵ 2) are not Quillen equivalent. The proof uses homotopy endomorphism …

We construct Hodge filtered cohomology groups for complex manifolds that combine the
topological information of generalized cohomology theories with geometric data of Hodge …

We study the problem of when triangulated categories admit unique infinity-categorical
enhancements. Our results use Lurie's theory of prestable infinity-categories to give …

We define the notion of an additive model category, and we prove that any additive, stable,
combinatorial model category has a natural enrichment over symmetric spectra based on …

Postnikov extensions of ring spectra Page 1 Algebraic & Geometric Topology 6 (2006) 1785–1829
1785 Postnikov extensions of ring spectra DANIEL DUGGER BROOKE SHIPLEY We give a …

In this work, we study the classification of differential graded algebras over Z (DGAs) whose
homology is F p [x], ie the polynomial algebra over F p on a single generator. This …