/sci/ - Science & Math

>>12720884
https://arxiv.org/pdf/0705.4122.pdf
I believe it is the orbit decomposition of the group itself. See the beginning of section 2 in the linked paper.

>>12657462
Yes, that is possible. You do know your group theory, right? If so, then you shouldn't have too much trouble with the basic concepts like subrings, ideals, quotient rings, homomorphisms and such. Notice that you have Euclidean and unique factorisation DOMAINS, and therefore they will be generalisations of the integers. This should give you some intuition, like for example the idea of a UFD is that you can take any integer and write it as a unique product of primes and maybe a -1. The polynomials may seem a bit odd at first as you will be familiar with real or complex coefficients, but you will just have to remember how to multiply the unknowns and how to multiply the coefficients. You can do it, at least if everything is commutative!

>>12208022
Can you do babby's first induction proof, that is [math]\sum\limits_{i=0}^n = \frac{n(n+1)}{2}[/math]? If not, show us (or me) where you get stuck. Otherwise, give some other problem you are stuck with and point out where you get stuck.

>>12119098
No problem!

>>12119108
Yes. This reminded me of a nice fact. There is actually a correspondence between Alexandrov spaces (arbitrary intersections of open sets are open) and preorders. Given an A-space like that, there is, at least for finite spaces, the so called Kolmogorov quotient that is homotopy equivalent to the original space and its corresponding preorder is actually a partial order. All finite spaces are Alexandrov, as are all spaces with the minimal or maximal topology.

Good afternoon, /mg/!

https://www.pims.math.ca/scientific-event/200926-cts
>The Cascade Topology Seminar is a semi-annual conference hosted in the Pacific Northwest and Western Canada. It features topology of all kinds. This year's event will be hosted online.
By the way, is semiannual once in 6 months or once in 2 years? The first would make it literally semiannual, but the second one would also make sense if you think about annual being 1 instance/year and this would then be ½ instance/year.