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Nov
7
comment Homotopy hypothesis and other geometric objects
@JoeJohnson126 Homotopy hypothesis. Essentially, it says that spaces up to weak equivalence = $\infty$-groupoids.
Nov
7
comment Homotopy hypothesis and other geometric objects
What are "other geometric objects"?
Oct
3
revised Why is kernel important?
edited tags
Oct
3
comment Prove $0! = 1$ from first principles
Wow, I've been coding too much lately and read this question as asking to show 0 != 1, (or for the non coders $0\neq 1$).
Oct
1
awarded  Civic Duty
Sep
27
comment Show that $x \ln(ex) - \sqrt{x}\geq 0$ for all $x\geq 1$
@JulianAssange See my answer...
Sep
27
answered Show that $x \ln(ex) - \sqrt{x}\geq 0$ for all $x\geq 1$
Sep
11
comment Direct and inverse limits of sheaves
It's worth mentioning that the reason the presheaf limit of a diagram of sheaves is a sheaf while the same need not be true for colimits is because the forgetful functor from sheaves to presheaves is a right adjoint and so preserves limits (its left adjoint is the sheafification functor.)
Sep
7
revised Is there any good reads for Goodwillie calculus out there?
edited tags
Sep
7
answered Is there any good reads for Goodwillie calculus out there?
Sep
7
answered Cokernels - how to explain or get a good intuition of what they are or might be
Sep
3
comment Calculation of Vectors
Please proofread your post before pressing submit...
Aug
29
comment When can a series be integrated term by term?
The Dominated Convergence Theorem applies here if you're talking about the Lebesgue integral.
Aug
29
awarded  Cleanup
Aug
29
revised If $A$ and $B$ are compact, then so is $A+B$.
rolled back to a previous revision
Aug
28
answered $\mathbb{Z}$ has no torsion?
Aug
19
awarded  Yearling
Jul
8
revised Subgroup Test with Conditions
added 32 characters in body; edited title
Jul
8
comment Pullbacks of categories
I don't know any thing about limits in 2-categories, but the definition of a pseudo 2-pullback looks like a homotopy pullback with truncated homotopy coherence conditions. This makes sense, as limits in an $\infty$-category are homotopy limits, so perhaps this could be a direction to look?
Jul
8
comment From Presheaf to Sheaf
@Hurkyl You're right, thank you. I was trying to give a more intuitive explanation, but I guess I changed the definition in the process!