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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.GN2021
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…
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 $…