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anuragbishnoi.wordpress.com | ||
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dominiczypen.wordpress.com
Motivation. We show that the space $latex (\aleph_1, \aleph_1\cup\{\aleph_1\})$ satisfies the selection principle $latex {\Omega \choose T}$, but not $latex {\Omega \choose \Gamma}$. This gives a negative answer to the question "$latex {\Omega \choose T} = {\Omega \choose \Gamma}?$" in the general setting. Below is a self-contained treatment of the matter.Let $latex (X,\tau)$ be a... |
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thehighergeometer.wordpress.com
Here's a fun thing: if you want to generate a random finite $latex T_0$ space, instead select a random subset from $latex \mathbb{S}^n$, the $latex n$-fold power of the Sierpinski space $latex \mathbb{S}$, since every $latex T_0$ space embeds into some (arbitrary) product of copies of the Sierpinski space. (Recall that $latex \mathbb{S}$ has underlying... |
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www.guyrutenberg.com
These are lecture notes for a class on Algebraic Methods in Combinatorics by Michael Krivelevich given during Spring semester of 2013. The notes where prepared in LyX and are available from here. E... |
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simons.berkeley.edu
[AI summary] The article presents a workshop recording from the Simons Institute focused on achieving interpretability in AI through symbolic distillation. |
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