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math.AT2021
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…
math.AT2021★ 1 cited
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 $…
math.AT2019
Operads without coalgebras
Brice Le Grignou, Damien Lejay
We give an example of a non-trivial linear operad that only admits trivial coalgebras and give sufficient conditions ensuring that the cofree coalgebra functor be faithful.