Recent content by cduston
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Graduate Vanishing measure of a set with codimenon 2
Ok I see that's actually pretty simple. I guess I was thinking that integrating something like a line in R^3 should be dl (like a 1D integral), which isn't generally zero but if you took the volume integral dV=dxdydz (or whatever) over the line you would get zero. Ok, thanks!- cduston
- Post #3
- Forum: Differential Geometry
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Graduate Vanishing measure of a set with codimenon 2
Hey everyone, I am integrating something (specifically 2-forms, but I think this is a general statement) over a set B of (real) codimension 2 in a 4-manifold (CP_2). I've been told that the measure of a set of codimension 2 will vanish, but I don't really understand why. I've been...- cduston
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- Measure Set
- Replies: 2
- Forum: Differential Geometry
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Graduate Connection between polynomials and groups
Oh no...I think you are right, that's what the Os look like in the paper. I also had a conversation with my advisor about this but it was over e-mail, so I'm sure she wrote O(2) when she really meant (that crazy italic O)(2). Ok, it's back to Hatcher to learn about twisted sheafs! If anyone else...- cduston
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Connection between polynomials and groups
Hey Everyone, I'm reading a paper by Claude LeBrun about exotic smoothness on manifolds and he is talking about a connection between polynomials and groups that I am not familiar with (or at least I think that's what he's talking about). He's creating a line bundle (which happens to be...- cduston
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- Connection Groups Polynomials
- Replies: 3
- Forum: Linear and Abstract Algebra
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Graduate Simple connectivity and finite coverings
Great work everyone, I think I'm beginning to get this. I found the chapter in Hatcher on the issue but I'm glad you (Doodle Bob) confirmed what I thought was the relevant result. But I think I understand what's going on, thanks very much everyone! (and for the record, you guys were more...- cduston
- Post #5
- Forum: Differential Geometry
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Graduate Simple connectivity and finite coverings
Hey everyone, First of all this is my first post and it's in regards to something I am (supposed to be) learning for my research. The topic is Algebraic Topology, so this was the closest general topic I could find. The question is in regards to the connection between covering spaces and...- cduston
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- Finite
- Replies: 4
- Forum: Differential Geometry