Hugo Bacard

activity

20102020

most citedSegal Enriched Categories I

5 citations · 14 across the 13 of their papers we have counts for

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math.AT2020★ 1 cited

Some functorial factorizations for Quillen functors

Hugo Bacard

We prove that any right Quillen functor between arbitrary model categories admits non trivial functorial factorizations that are similar to those of a model structure. We also prov…

math.AT2018

Quillen-Segal algebras and Stable homotopy theory

Hugo Bacard

Let $M$ be a monoidal model category that is also combinatorial and left proper. If $O$ is a monad, operad, properad, or a PROP; following Segal's ideas we deve…

math.AT2014

Symmetries

Hugo V. Bacard

Classical mathematics are founded within set theory, but sets don't have \emph{symmetries}. We conjecture that if we allow sets with symmetries, then many problems such as \emph{Mi…

math.AT2014

Understanding higher structures through Quillen-Segal objects

Hugo V. Bacard

If $M$ is a model category and $U : A \to M$ is a functor, we defined a Quillen-Segal $U$ -object as a weak equivalence $\ma…

math.AT2014★ 1 cited

Quillen-Segal objects and structures: an overview

Hugo V. Bacard

Let $M$ be a combinatorial and left proper model category, possibly with a monoidal structure. If $O$ is either a monad on $M$ or an operad enriched o…

math.AT2014

Model structure on co-Segal commutative dg-algebras in characteristic p>0

Hugo V. Bacard

We study weak commutative algebras in a symmetric monoidal model category $M$ . We provide a model structure on these algebras for any symmetric monoidal model category th…