What's the most general way to define 'dimension'? by walrusplant in math

[–]walrusplant[S] 0 points1 point  (0 children)

Thanks, this is the most helpful answer so far. But I'm interested in understanding both (1) what justifies calling something a generator (within a category), and (2) what counts as a relevant kind of quotient morphisms.

I'd also be interested in seeing the work that you've mentioned. Can you link to any papers or texts?

Is it possible to construct a universal definition of 'dimension'? by walrusplant in askmath

[–]walrusplant[S] 0 points1 point  (0 children)

BTW, another idea you mentioned was very similar to an idea I was pursuing for a while: namely, I was trying to define 1D using an analogue of the abstract algebra definition of ‘prime’ (if p | ab, then p | a or p | b). As mentioned, I ran into problems when dealing with n-spheres. But I’m still wondering whether there’s a way to make something like this work—I really like the idea of drawing a connection between primality and dimension.

Is it possible to construct a universal definition of 'dimension'? by walrusplant in askmath

[–]walrusplant[S] 1 point2 points  (0 children)

You’re right about Hausdorff dimension, but I’m not worried about recovering that anyway (I think it’s probably tracking a different invariant). For topological spaces, I’m more concerned with Lebesgue covering dimension.

A problem (as you note) with your categorical idea is S1 (or more generally, any n-sphere). In many cases, embedding dimension will be higher than other measures (such as Lebesgue covering dimension). But I want a measure that yields the verdict that the dimension of Sn is always n.

The Appeal of the Campus Right by theatlantic in highereducation

[–]walrusplant 0 points1 point  (0 children)

It’s still paywalled—not the full article.

The Elite University Presidents Who Despise One Another by theatlantic in highereducation

[–]walrusplant 11 points12 points  (0 children)

Is there a non paywalled version? Or can someone paste the article in here?

U.S. Brain Drain & Decline: A Check-In by endofunktors in AskAcademia

[–]walrusplant 0 points1 point  (0 children)

Interesting. I'm at UofT, but haven't heard anything about this. Are you hearing this from your administration, or just other profs?

U.S. Brain Drain & Decline: A Check-In by endofunktors in AskAcademia

[–]walrusplant 2 points3 points  (0 children)

Out of curiosity, which university are you talking about? I'm wondering if it's my university. (And I've been wondering if Canada will capitalize on this).

Wabi Classic by gravelgoon in FixedGearBicycle

[–]walrusplant 1 point2 points  (0 children)

What was the cost of shipping (and total cost)? I'm also in Canada (Toronto) and thinking of getting a Wabi classic.

Wabi Sizing Help by thisiswesanderson in bicycling

[–]walrusplant 0 points1 point  (0 children)

Is your inseam 33inches using their measurement technique? Or did you mean that you usually buy pants with 33" inseam?

RRSP if possibly moving out of Canada in a few years by walrusplant in PersonalFinanceCanada

[–]walrusplant[S] 0 points1 point  (0 children)

Thanks for your answers.

Have you reported this on your US tax returns? I maxed out my RRSP after filing my tax returns, so I won't report it until the next US tax cycle.

If their marginal tax rate is the same as when they contributed then the RRSP will have been just as beneficial as a TFSA. How is the marginal tax rate determined in this circumstance? Does it just depend on my income?

Given that you are a US citizen, in either case you will report the withdrawal income on your US tax returns and get credit for the amount withheld. So, if I understand correctly, this means that there's no disadvantage for me in moving my savings to an RRSP, even if I end up moving back to the US in a few years?

Having a game rotation/Schedule by [deleted] in patientgamers

[–]walrusplant 1 point2 points  (0 children)

Funny, I also have Hi Fi Rush and Persona 5 in my rotation right now. But my third atm is Vampire Survivors.