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Autor:
Sledd, Levi
We prove that for all $k,m,n \in \mathbb N \cup \{\infty\}$ with $4 \leq k \leq m \leq n$, there exists a finitely generated group $G$ with a finitely generated subgroup $H$ such that the asymptotic dimension of $G$ is $k$, the Assouad-Nagata dimensi
Externí odkaz:
http://arxiv.org/abs/2010.03709
Autor:
Sledd, Levi
This paper is the first in a two-part series. In this paper, we prove that the Assouad-Nagata dimension of any finitely generated (but not necessarily finitely presented) $C'(1/6)$ group is at most 2. In the next paper, we use this result, along with
Externí odkaz:
http://arxiv.org/abs/1909.06646
Autor:
Sledd, Levi1 (AUTHOR) levi.sledd@protonmail.com
Publikováno v:
Journal of Topology. Dec2023, Vol. 16 Issue 4, p1509-1542. 34p.
We verify a conjecture of Nowakowski and Ottaway that closed $1 \times n$ Dots-and-Triangles is a first-player win when $n \neq 2$. We also prove that in both the open and closed $1 \times n$ Dots-and-Boxes games where $n$ is even, the first player c
Externí odkaz:
http://arxiv.org/abs/1507.08707