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Aug
24
awarded  Yearling
Aug
20
revised Maximal and Minimal Elements
fixed grammar
Aug
20
suggested approved edit on Maximal and Minimal Elements
Aug
20
comment difference between maximal element and greatest element
math.stackexchange.com/a/96018/1457
Aug
19
comment Example of Something That's Not A Manifold
What if you took a smooth ball in 3-space, cut out a hole, and fuzzed up that hole, like cutting an infinite number of "nicks" in it that obstruct the flats from being stitched together? You could also imagine a "foam" where there are an infinite number of "bubbles" obstructing the flats, wherever you want to stitch two of them together. (i.e., think of a loaf of bread, is it a manifold? What about the crannies? What if there was always a "cranny" keeping it from being smooth?)
Aug
3
awarded  Necromancer
Jul
18
answered Turning real roots into curves (for visualisation)
Jul
8
awarded  Necromancer
Jul
2
awarded  Talkative
Jul
2
comment Is there a physical interpretation of the alternating property?
@user40276 Thanks, that makes sense. But what is the physical meaning of a wedge product? Are we talking about volume of a phase space (like the configuration space of a mechanical system)? If so, what does it mean to wedge a phase space to another phase space?
Jul
2
revised Is there a physical interpretation of the alternating property?
deleted 2 characters in body
Jul
2
revised Is there a physical interpretation of the alternating property?
edited tags
Jul
2
comment Is there a physical interpretation of the alternating property?
What's the physical significance of that?
Jul
2
asked Is there a physical interpretation of the alternating property?
May
23
awarded  Civic Duty
May
23
comment Why are particular combinations of algebraic properties “richer” than others?
Also it seems to me like Voevodsky's pursuit of 2-theories was about breaking with category-theory like you say. In his IAS talk he says exploring so far outside what was already known made it much harder for him to prove things because his prior knowledge was less helpful.
May
23
comment Why are particular combinations of algebraic properties “richer” than others?
I think this question of mine is maybe a little similar. Qiaochu mentions Poisson algebras, an interesting, naturally occurring mathematical-object I had never come across.
May
23
comment Why are particular combinations of algebraic properties “richer” than others?
Well, I wouldn’t assume that what shows up by the second year of graduate school is there because it’s the most interesting. For example we teach undergraduates too much calculus and postgrads see too few spaces.
May
23
comment Why only two binary operations?
ias.edu/articles/2-theories ←feels like Voevodsky trying to break with this kind of pattern
May
23
comment A resource for learning p-adic numbers
Well, Serre's Course in Arithmetic treats them in chapter 2.