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You are here		anuragbishnoi.wordpress.com The Rank-Ramsey problem \| Anurag's Math Blog
\|	\|	thehighergeometer.wordpress.com Small fun observation about finite topological spaces, and some challenges - theHigherGeometer	2.5 parsecs away Travel
\|	\|	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...	2.5 parsecs away Travel
\|	\|	xenaproject.wordpress.com Formalising modern research mathematics in real time \| Xena	2.4 parsecs away Travel
\|	\|	(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...	2.4 parsecs away Travel
\|	\|	dominiczypen.wordpress.com Selection principles: "Omega choose T" vs "Omega choose Gamma" \| Musings on general topology and orderings	3.1 parsecs away Travel
\|	\|	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...	3.1 parsecs away Travel
\|	\|	rottenindenmark.wordpress.com New Video! Is "Cancel Culture" Really A Threat To America? \| Rottin' in Denmark	11.6 parsecs away Travel
\|		I missed making these so much! https://www.youtube.com/watch?v=RkVYvp_CumI	11.6 parsecs away Travel