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Sep
25
asked Smooth functions with compact support are dense in $L^1$
Sep
25
comment $C_c(X)$ dense in $L_1(X)$
What does "I should something to you" mean?
Sep
25
comment $C_c(X)$ dense in $L_1(X)$
Thank you! About the measurable function with compact support: the step function $s_n$ has finite support and therefore compact support. This is what I meant.
Sep
24
revised $C_c(X)$ dense in $L_1(X)$
added 15 characters in body
Sep
24
comment $C_c(X)$ dense in $L_1(X)$
Did you use the Tietze theorem anywhere?
Sep
24
comment $C_c(X)$ dense in $L_1(X)$
Thanks! Where do you get the increasing sequence from? $\sigma$-finite doesn't give you that: en.wikipedia.org/wiki/%CE%A3-finite_measure
Sep
23
accepted Homology groups of unit square with parts removed — revisited
Sep
23
accepted Why is an integral domain a commutative ring with unity?
Sep
23
asked $C_c(X)$ dense in $L_1(X)$
Sep
23
accepted Lie algebra of $GL_n(\mathbb{C})$
Sep
19
comment Lie algebra of $GL_n(\mathbb{C})$
I know nothing. I started to read about Lie groups yesterday. I read that the exponential map maps elements in the Lie algebra to elements in the Lie group. I wonder if that is useful. Probably not because the exponential map is not surjective, I suppose....
Sep
19
asked Lie algebra of $GL_n(\mathbb{C})$
Sep
19
comment Definition of tangent space
Thanks, actually anon's read it right. I'm just generally confused at the moment by the new subject of lie algebras and groups and I didn't see that it was so obvious.
Sep
19
comment Definition of tangent space
Thanks! And thanks for the book recommendation. As for the bonus: I'm still struggling with definitions so I'm not quite ready to answer that.
Sep
19
accepted Definition of tangent space
Sep
19
revised Definition of tangent space
added 135 characters in body
Sep
19
asked Definition of tangent space
Sep
19
accepted Exact meaning of homology
Sep
17
comment Exact meaning of homology
I picture a one dimensional hole as something you can not get $S^1$ passed. I'm not sure it's right but in a cell complex such as the torus I can consider the one skeleton and then I see that it contains $2$ one dimensional holes. Now going to look at the other questions you gave me... thank you!
Sep
17
asked Exact meaning of homology