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Here smooth means infinitely differentiable. Clearly (df_x)*(df_x) has all its eigen values nonnegative and has atleast one +ve eigen value. Can we say that E_f is smooth or continuous. If...
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Is there some decomposition theorem for chain complexes in terms of simpler complexes?
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It will be helpful if somebody can provide some sourse for it.
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One of the interesting classes is class of quotients of complex polynomials. Is this class dense in C(S^2, S^2) in compact open topology?
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