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anuragbishnoi.wordpress.com | ||
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thehighergeometer.wordpress.com
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| | | | | 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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xenaproject.wordpress.com
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| | | | | (This is a guest post by Bhavik Mehta) On March 16, 2023, a paper by Campos, Griffiths, Morris, and Sahasrabudhe appeared on the arXiv, announcing an exponential improvement to the upper bound on Ramsey numbers, an open problem since 1935. Around the same time, posts by Terence Tao, Timothy Gowers and Gil Kalai appeared, all... | |
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dominiczypen.wordpress.com
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| | | | | 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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allouttabubblegum.wordpress.com
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| | | Keep an eye here, going to reactivate this blog. | ||
