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julian
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one-point compactification of space of matrices with non-negative trace
Hi I'm a physicist and my question is a bit text-bookey but it is also part of the proof that the universe had a beginning...so could I ask anyway...You got q which is a continuous function of a 3 by 3 matrix where if any component of the matrix is very large then q is close to the point x, then with the trace of the matrix greater than or equal to zero, the one-point compactification of this space of matrices, where the point at infinity is mapped to x, is compact...please explain. Thanks.
Hi I'm a physicist and my question is a bit text-bookey but it is also part of the proof that the universe had a beginning...so could I ask anyway...You got q which is a continuous function of a 3 by 3 matrix where if any component of the matrix is very large then q is close to the point x, then with the trace of the matrix greater than or equal to zero, the one-point compactification of this space of matrices, where the point at infinity is mapped to x, is compact...please explain. Thanks.
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