3 citations · 5 across the 10 of their papers we have counts for
10 papers
Categories enriched over oplax monoidal categories
Thomas Basile, Damien Lejay, Kevin Morand
We define a notion of category enriched over an oplax monoidal category , extending the usual definition of category enriched over a monoidal category. Even though oplax monoida…
On the topologies of the exponential
Anna Cepek, Damien Lejay
Factorization algebras have been defined using three different topologies on the Ran space. We study these three different topologies on the exponential, which is the union of the…
Sequential unions of core-compact spaces commute with products
Damien Lejay
We show that given two sequences of core-compact spaces \[ X_0 \hookrightarrow \dots \hookrightarrow X_n \hookrightarrow \dots \quad \text{and} \quad Y_0 \hookrightarrow \dots \hoo…
Constructible hypersheaves via exit paths
Damien Lejay
The goal of this article is to extend a theorem of Lurie \[ \mathsf{Sh}_A (X) = \mathsf{Fun}(\mathsf{Exit}_A (X), \mathsf{S}) \] representing constructible sheaves with values in $…
Base change along lax squares
Brice Le Grignou, Damien Lejay
In this note we present a recipe which transforms any pull-push along a span of categories into a push-pull along a cospan and vice versa, based on a theorem from Guitart.
Endomorphism operads of functors
Gabriel C. Drummond-Cole, Joseph Hirsh, Damien Lejay
We consider the endomorphism operad of a functor, which is roughly the object of natural transformations from (monoidal) powers of that functor to itself. There are many examples f…