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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 is a model category and is a functor, we defined a Quillen-Segal -object as a weak equivalence $\ma…
math.AT2014★ 1 cited
Quillen-Segal objects and structures: an overview
Hugo V. Bacard
Let be a combinatorial and left proper model category, possibly with a monoidal structure. If is either a monad on 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 . We provide a model structure on these algebras for any symmetric monoidal model category th…