399 reputation
210
bio website
location
age
visits member for 2 years, 6 months
seen Jun 8 at 12:36

Feb
15
comment Hilbert-Schmidt norm/smooth manifolds
Yes, sorry, I forgot to mention that. I'll edit the text.
Sep
27
comment Surface orientation
Yes, the bases are orthonormal. I corrected that :) Thanks. This problem can be found on Montiel, Curves and Surfaces, page 76.
Sep
3
comment About scalar products on $\mathbb{R}^n$
Done! :) Thanks
May
29
comment Nilpotent operator / Orthogonal projection
You're right, this isn't true under the given conditions.
Oct
15
comment Representation of $S^{3}$ as the union of two solid tori
Thanks, I edited the title and the tag :)
Oct
4
comment Second countable topological space
Thank you, Brian. =]
Oct
4
comment Projective spaces - Disjoint union
No, I haven't studied it yet...
Sep
18
comment Smooth Manifolds
Thanks, Matt. I corrected it.
Sep
12
comment Local Isomorphism on Topological Groups
I've changed :)
Sep
12
comment Local Isomorphism on Topological Groups
Oh, sorry, I didn't make it clear. When I started to write this post I first put the title of the topic. He talks about generators of a group later in the same topic.
Aug
19
comment Matrix subsets dimension
Sorry, I've put three "n²-1". Actually, there are just two. I didn't understand it too, but this is how it is written =/
May
16
comment Basis to a manifold by coordinate balls
Is S really contained in B (line 6)? You meant S contained in the image of B via (phi), no?
May
14
comment Basis to a manifold by coordinate balls
I forgot to ask something else... I have to show that there is a coordinate ball in S^n whose closure is equal to all S^n. The open ball of radius 1 is what we're looking for, isn't?
May
4
comment Equivalent to the Euclidean fifth postulate
Thank you. I missed that.
Apr
29
comment Disconnected space - Disjoint Union
Hum... this is an exercise I solved using the other definition. But it's an interesting definition too =]
Apr
28
comment Disconnected space - Disjoint Union
Answering, should V be the union of h[X_i] where i is different from x_0?
Apr
28
comment Disconnected space - Disjoint Union
Oh, how could I let this pass? I just have to expose an homeomorphis for the first implication. I didn't realize that the two (or more) spaces I would need are just those I know from the definition of conectedness of X. Thank you for opening my eyes.
Apr
28
comment Disconnected space - Disjoint Union
@Jay X is a general topological space, I can't assume it's even Hausdorff.
Apr
26
comment Box topology on $\prod_{n=1}^\infty\mathbb{R}$
Hum, understood! Your construction clarified things. Thank you!
Apr
26
comment Box topology on $\prod_{n=1}^\infty\mathbb{R}$
The set O doesn't contain any term of the sequence, right? Because every x_i doesn't belong to O_i. This way, by the definition, we can't have a sequence converging to zero, is it? I think your argument for the second part still works if we have a finite product, doesn't it?