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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Showing 2014Show all

5 papers · 1 filter

math.CT2014

Displacements

Hugo V. Bacard

Given a functor $p : E \to B$ and an object $e \in E$ , we define a \emph{displacement} of $e$ along a morphism $ε : p (e) \to b$ , as a map $e \rightarrow \na…

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…