Assouad--Nagata dimension of systolic complexes with almost flat intervals

@misc{blufstein2026assouadnagata,
  title = {{Assouad--Nagata dimension of systolic complexes with almost flat intervals}},
  author = {Martín Blufstein and Victor Chepoi and Huaitao Gui and Damian Osajda},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.05763},
  eprint = {2611.05763},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.05763},
}

TY  - UNPB
TI  - Assouad--Nagata dimension of systolic complexes with almost flat intervals
AU  - Martín Blufstein
AU  - Victor Chepoi
AU  - Huaitao Gui
AU  - Damian Osajda
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.05763
UR  - https://arxiv.org/abs/2611.05763
AB  - We introduce the notion of systolic complexes with almost flat intervals. They constitute a subclass of fit systolic complexes and arise naturally in the study of graphical C(3)--T(6) small cancellation complexes. We prove that their Assouad--Nagata dimension is bounded above by a universal constant. As consequences, we obtain universal bounds on the Assouad--Nagata dimension of tame simply connected graphical C(3)--T(6) small cancellation complexes and of finitely generated groups defined by graphical C(3)--T(6) small cancellation presentations. In the appendix, we observe that the proof of finiteness of asymptotic dimension for buildings due to Dymara and Schick also yields finiteness of their asymptotic Assouad--Nagata dimension.
ER  -