|
You are here |
algorithmsoup.wordpress.com | ||
| | | | |
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... | |
| | | | |
dominiczypen.wordpress.com
|
|
| | | | | For $latex A, B \subseteq \omega$ we write $latex A \subseteq^* B$ if $latex A\setminus B$ is finite, and we write $latex A\simeq^* B$ if $latex A\subseteq^* B$ and $latex B\subseteq^* A$. A tower is a collection $latex {\cal T}$ of co-infinite subsets of $latex \omega$ such that for all $latex A\neq B\in {\cal T}$... | |
| | | | |
blog.georgeshakan.com
|
|
| | | | | I recently uploaded "On the largest sum-free subset problem in the integers," to the arXiv. Let $latex A \subset \mathbb{Z}$ be a finite subset of the integers. We say $latex A$ is sum-free if there are no solutions to $latex a + b = c,$ with $latex a,b,c \in A$. We define $latex S(A)$ to... | |
| | | | |
blog.sigfpe.com
|
|
| | | |||