We define the intersection complex for universal cover of a compact weakly special square and show that it is quasi-isometry invariant. By using this invariant, we study quasi-isometric classification 2-dimensional right-angled Artin groups planar graph 2-braid groups. Our results two well-known cases groups: (1) those whose defining graphs are trees (2) outer automorphism finite. Finally, ther...

for fr$acute{mathbf{text{e}}}$chet algebras $(a, (p_n))$ and $(b, (q_n))$, a linear map $t:arightarrow b$ is textit{almost multiplicative} with respect to $(p_n)$ and $(q_n)$, if there exists $varepsilongeq 0$ such that $q_n(tab - ta tb)leq varepsilon p_n(a) p_n(b),$ for all $n in mathbb{n}$, $a, b in a$, and it is called textit{weakly almost multiplicative} with respect to $(p_n)$ and $(q_n)$,...