Evariste
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 Feb 3 awarded Popular Question Sep 24 awarded Autobiographer Jul 2 awarded Curious Apr 15 awarded Yearling Jun 15 comment Is there a name of this function? Thanks guys! I reckon "inclusion map" is the one I was looking for(kind of forgot the term after years). The way I present it probably confused people. And that's probably the reason that you guys gave many different answers. Jun 14 comment Is there a name of this function? Thanks a lot Tom! Jun 14 accepted Is there a name of this function? Jun 13 asked Is there a name of this function? Jun 10 comment This is correct? it is my project @JgMc That's alright. I don't know how to express myself in Spanish either :p But I reckon what you did was correct(although you can prob follow a better and clearer approach). If you wonder what a better and clearer approach is, I suggest you check out Calculus by Stewart. Look at those examples that he did. Jun 9 comment Prove that a standard torus is diffeomorphic to $\mathbb S^1\times \mathbb S^1$ @TedShifrin Thanks Prof. Shifrin! Jun 9 comment Prove that a standard torus is diffeomorphic to $\mathbb S^1\times \mathbb S^1$ @user79365 Yes I meant locally diffeomorphic. Thanks for the suggestion. I'll think about it now. Jun 9 comment Proper map on from compact manifolds Thanks for the help! Jun 9 accepted Proper map on from compact manifolds Jun 9 comment This is correct? it is my project @JgMc I don't understand what you're talking about. What do you mean by "all is step by step for any people"? Jun 9 comment Prove that a standard torus is diffeomorphic to $\mathbb S^1\times \mathbb S^1$ Also I don't think we can use the inverse function theorem. Because we don't know that they are manifolds a priori. Of course we can assume that they're manifolds, but then there are little point to do this question, because they're both diffeomorphic to $\mathbf R^2$. Jun 9 comment Prove that a standard torus is diffeomorphic to $\mathbb S^1\times \mathbb S^1$ Hi Thanks a lot for the help. Yeah I actually did the first two bits last night. But I got stuck on the third bit... And it seems impossible to me... Jun 9 asked Proper map on from compact manifolds Jun 9 answered This is correct? it is my project Jun 9 revised Show that the tangent space of the diagonal is the diagonal of the product of tangent space deleted 1711 characters in body Jun 8 comment Prove that a standard torus is diffeomorphic to $\mathbb S^1\times \mathbb S^1$ @HaraldHanche-Olsen Thanks Prof. Hanche-Olsen! I'll go find the explicit parametrisation. Thanks for the help!