4 papers
math.GR2025
Minimal displacement set for CAT(0) cubical complexes
Ioana-Claudia Lazar
We investigate the structure of the minimal displacement set in CAT(0) cubical complexes. We show that such set is convex, it is locally endowed with a CAT(0) metric and it is simp…
math.GR2024
Minimal displacement set for weakly systolic complexes
Ioana-Claudia Lazar
We investigate the structure of the minimal displacement set in weakly systolic complexes. We show that such set is systolic and that it embeds isometrically into the complex. As c…
math.CO2024
7-location, weak systolicity and isoperimetry
Nima Hoda, Ioana-Claudia Lazăr
-location is a local combinatorial condition for flag simplicial complexes introduced by Osajda. Osajda showed that simply connected 8-located locally 5-large complexes are hype…
math.GR2019
Quadratic isoperimetric inequality for 7-located simplicial complexes
Ioana-Claudia Lazăr
We show that 7-located simplicial complexes satisfy a quadratic isoperimetric inequality.