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.
semih ozlem (Jun 28 2023 at 19:01):How is notion of class in vNBG (von Neuman Bernays Godel) set theory and in Grothendieck Universe approach related? In Grothendieck Universe approach a class is a subset of the universe whereas a class is something different than a set in the prior theory? What sort of a difference would it make in the development of the theory if we use Grothendieck Universe convention for a class as opposed to vNBG set theory approach to class?
Mike Shulman (Jun 28 2023 at 19:09):I wrote a fairly extensive note on set theory for category theory addressing questions like this.