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djalil.chafai.net | ||
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leimao.github.io
Simple Proof to Multivariate Jensen's Inequality |
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wildtopology.com
The harmonicpants space is much like the harmonic archipelago but highlights even more striking phenomena. It is constructed by attaching a countably infinite number of `pairs of pants' to the infinite earring in a particular way. Let $latex p_0$ be the wild point of the earring latex $latex \mathbb{E}$ and let $latex \ell_n:S^1\to\mathbb{E}$ be the... |
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wildtopology.com
Let $latex \mathbb{E}=\bigcup_{n\in\mathbb{N}}C_n$ where $latex C_n$ is the circle of radius $latex 1/n$ with basepoint $latex b_0=(0,0)$. Let $latex \sigma:\mathbb{E}\to\mathbb{E}$ be the shift map, which takes $latex C_n$ homeomorphically onto $latex C_{n+1}$. The earring mapping torus is the mapping torus $latex T_f$ of the map $latex f$. In particular, $latex T_f=\mathbb{E}\times [0,1]/\sim$ where $latex (x,0)\sim... |
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bluebirdofbitterness.com
Reblogged on WordPress.com |
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