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Jul
21
comment geometry of the sphere
what kind of geometry?
Jun
13
comment Groups that are not Lie Groups
$\mathbb{R}^\infty$
May
27
asked Proof of a lemma which leads to Nakayama's lemma
May
9
comment De Rham cohomology of $T^n$ using Künneth formula and Chevalley-Eilenberg theorem.
How do I write $H^*(T^n)$ as a quotient of a polynomial ring? Will it be $\mathbb{R}[x_1,...,x_n]$ and we quotient out by the ideal generated by commutators $[x_i, x_j]$?
May
9
asked De Rham cohomology of $T^n$ using Künneth formula and Chevalley-Eilenberg theorem.
Apr
21
comment An example of $K(G,1)$ in Hatcher
Do we also allow repetitions? Is $[a,a]$ a valid 1-simplex?
Apr
21
comment An example of $K(G,1)$ in Hatcher
Is there some sort of implicit ordering of the group $G$ which passes to the corresponding ordering of the vertices of $EG$?
Apr
20
asked An example of $K(G,1)$ in Hatcher
Apr
14
asked Showing that the 2-torus is parallelizable
Mar
29
comment Two definitions of attaching are equivalent.
Why not? $X\sqcup Y:=(X\times \{0\}) \cup (Y\times \{1\})$.
Mar
29
asked Two definitions of attaching are equivalent.
Mar
17
asked Why derivations obey chain rule.
Mar
10
comment Simplicial homology of sphere with bars.
Qiaochu, if we regard $S^2$ as a subset of $\mathhbb{R}^3$, then a vertical bar is a bar inside the sphere which is parallel to the $z$-axis with vertices on $S^2$.
Mar
10
asked Simplicial homology of sphere with bars.
Feb
24
asked If $\mathbb{R}^n=U\cup V$ for path-connected $U,V$ then $U\cap V$ is path-connected.
Feb
23
asked When are flag manifolds compact.
Jan
27
asked $\sqrt{I}+\sqrt{J}=R$ implies $I+J=R$
Dec
12
asked Pull-back of a one-form on a sphere.
Dec
2
revised A particular case of Zariski's lemma
added 6 characters in body
Dec
2
asked A particular case of Zariski's lemma