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Taking a look at this interesting article, generalist journals are heavily "biased" towards pure mathematics at the expense of applied one. If you ask me, this is exactly how it should be.
@ Wouter Stekelenburg. This is discussed at some length in an interesting paper, "Real Analysis in Reverse" by James Propp. In such fields, $1/n$ does not converge to zero.
Thank you. But I am still curious if it is not the same. If I am not mistaken, it would be so if the whole dimension of $H^d(X)$ always has the same parity as $N$. Do you know a counterexample?