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 Feb 29 awarded Famous Question Jun 18 awarded Yearling Mar 23 awarded Good Question Feb 5 comment Prove this alternative formula for derivative $f'(x)$ You can calculate the limit of each term seperately and in the second computation you replace $h$ with $-h$ (both go to $0$ as $h$ goes to $0$) Dec 16 comment Complex projective space and its dual are homeomorphic? I believe you can find this theorem in Milnor & Stasheff characteristic classes book chapter 5. Dec 15 awarded Informed Dec 14 awarded Caucus Nov 16 accepted Good textbooks on combinatorics for self-study Nov 8 awarded Disciplined Jul 14 awarded Notable Question Jul 2 awarded Curious Jun 18 awarded Yearling Apr 12 comment $k[x]/(x^n) \otimes_{k[x]} k[y]/(y^m)$ Well start by changing the name of the variable in one side from $x$ to $y$ so it becomes $k[x]\otimes k[y]$ Apr 12 comment One to one mapping from $A(S_1)$ into $A(S_2)$ Elements of $f\in A(S^1)$ are 1-1 functions from $f:S^1\to S^1$ and $\phi:S^1\to S^2$ is 1-1, what can you say about their composition $\phi\circ f$ Mar 26 comment Why is the fibre of each point compact? The fiber is a closed subset of a compact space hence compact. It is closed because it is the inverse image of the closed set $\{x\}$ by a continuous function. Mar 25 comment Trivialization of the normal bundle of a knot @Lepanais Yes the Mobius band is the unique non orientable line bundle over $S^1$. Mar 24 revised Trivialization of the normal bundle of a knot added 8 characters in body Mar 24 revised Trivialization of the normal bundle of a knot edited body Mar 24 answered Trivialization of the normal bundle of a knot Mar 17 revised Prove that $\frac{2^n}{n!}$ converges 0. added 3 characters in body