4:58 AM
Hey.
Anyone?

5:56 AM
The above is probably related to this question:
in Mathematics, 2 hours ago, by Jackozee Hakkiuz
So I take an arbitrary bilinear map $f:U\times V\to W$, and I want to show it factors through $\xi$ via a unique $\tilde{f}$.
It's unclear what $\xi$ means. But maybe for people more familiar with this topic, it is well-know what $\xi$ denotes in this context.

6:51 AM
Yes, it is. Sorry, no one answered in Mathematics so I came here because the name of this chat suggests linear algebra.
Anyway, I defined $\xi$ one line above as the projection modulo a certain subspace $S$ generated by the relations chosen so that $\xi$ is bilinear.
I was struggling construct a tensor product. I'm done now. Thanks for the response.
:)

So basically $\xi: U\times V \to U\otimes V$, but since you are doing this before defining tensor product, instead of $U\otimes V$ you have $U\times V/\sim$ where $\sim$ is some equivalence relation.
It's true that not many users visit this room. It's similar for other area specific chatroom.
It's a matter of choosing what is more likely to get you some response. In the main chatroom there are usually many users, but also a lot of messages - so after few hours your question is quite far back in the transcript and less likely to be noticed.
In room like this where you have one message in a few days, the message becomes visible for a longer time (there are no new messages to push it away) - but also there are less users who can notice your message.
I hope that at least some of these are specific rooms will gain some activity eventually. (At the very least, linear algebra seems like a topic that is interesting to many users on this site.)

7:17 AM
Yes, although it wasn't a relation on $U\times V$ but on the free vector space generated by the underlying set of $U\times V$.

Thank you so much. Knowing this, I'll try to use these chatrooms more often. :)