Zulip Chat Archive

Stream: general

Topic: From fields to sets


Anthony Bordg (Oct 04 2018 at 21:18):

Hello,

is there an easy way to get the underlying set of a (discrete) field ?
Thanks

Simon Hudon (Oct 04 2018 at 21:21):

If you have field α, set.univ α is the underlying set.

Anthony Bordg (Oct 04 2018 at 21:29):

If you have field α, set.univ α is the underlying set.

Great! Thank you Simon.

Simon Hudon (Oct 04 2018 at 21:30):

:+1:

Simon Hudon (Oct 04 2018 at 21:30):

What do you use it for? Typically, I don't see that set used much because the type does most of the work on its own

Mario Carneiro (Oct 04 2018 at 21:35):

I think maybe you just want α?

Mario Carneiro (Oct 04 2018 at 21:36):

It's not an "underlying set", it's an "underlying type"

Mario Carneiro (Oct 04 2018 at 21:37):

and there is no underlying about it because we define "a field on α" rather than just "a field", so α is the carrier

Anthony Bordg (Oct 04 2018 at 21:54):

What do you use it for? Typically, I don't see that set used much because the type does most of the work on its own

You're right, I realized that I don't need it. :+1:


Last updated: Dec 20 2023 at 11:08 UTC