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Monoidal Functors, Species and Hopf Algebras
bilax monoidal functor Fock functor Hopf algebra
2015/8/14
The fact that α is a morphism of lax monoidal functors is the same as (6.4) and the
coassociativity of I in (6.8). The fact that λ and ρ are morphisms of lax functors
is the same as (6.6) and the c...
In the theory of operads we consider functors of generalized symmetric powers defined by sums of coinvariant modules under actions of symmetric groups. One observes classically that the construction o...
A characterization of simplicial localization functors
characterization simplicial localization functors
2011/1/19
We characterize simplicial localization functors among relative functors from relative categories to simplicial categories as any choice of ho-motopy inverse to the delocalization functor of Dwyer and...
Comparison of Cubical and Simplicial Derived Functors
Cubical Simplicial Derived Functors
2010/11/24
In this note we prove that the simplicial derived functors introduced by Tierney and Vogel [TV69] are naturally isomorphic to the cubical derived functors introduced by the author in [P09]. We also e...