Category Theory
Zulip Server
Archive

You're reading the public-facing archive of the Category Theory Zulip server.
To join the server you need an invite. Anybody can get an invite by contacting Matteo Capucci at name dot surname at gmail dot com.
For all things related to this archive refer to the same person.

Stream: learning: questions

Topic: linearly distributive functors between *-autonomous cats

view this post on Zulip Matteo Capucci (he/him) (Oct 25 2025 at 08:32):

Does anyone know if the sub-2-category of symmetric [[linearly distributive categories]] spanned by [[star-autonomous]] categories is equivalent to that of symmetric *-autonomous categories with lax monoidal functors which also laxly preserve the duality, i.e. those equipped with a coherent map F(c∗)→F(c)∗F(c^*) \to F(c)^*?