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Noah Olander

I'm an PhD student at Columbia.

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Top Questions

Why the attachment to simplices in (co)homology?

algebraic-topology asked Jul 22, 2016 at 17:23

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Another Watered Down Version of Dirichlet's Theorem

elementary-number-theory asked May 30, 2015 at 20:06

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Top Answers

What is a short exact sequence?

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Prove the open mapping theorem by using maximum modulus principle

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Automorphism group of an infinite field.

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Why must a meromorphic function, bounded near infinity, have the same number of poles and zeros?

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Are these conditions sufficient for a $\mathbb{Z}$-module to be free?

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Is the zero ideal $\{0_{M_2(\mathbb{R})}\}$ maximal in $M_{2}(\mathbb{R})$?

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Looking for a Better Way to Think About Polynomial Rings

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Open set containing rationals but complement non-denumerable

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Does $f$ have a limit if $\lim_{x\to\infty}f'(x)=0$?

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Prove that there exists a real number $x$ for which $\displaystyle \sum_{k=0}^n a_kx^k = 0$

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Prove the set of matrices with one Jordan block is not dense in $M_n(\mathbb{C}).$

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$(f(x))^p\neq f(x^p)$ on infinite field of characteristic $p$

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Algebraic numbers are a field

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Is this quotient of a disk Hausdorff?

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If $f(x,y)\in R[x,y]$ is an irreducible polynomial, is $R[x,y]/f(x,y)$ a field?

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If a function $f$ is holomorphic on the closed unit disk centered at the origin and is real valued whenever $|z| = 1$, then $f$ is constant.

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