5 papers
CAT(0) triangle-pentagon complexes
Ioana-Claudia Lazăr
We show that a certain triangulation of CAT(0) triangle-pentagon complexes is -located and locally -large. Hereby we give examples of -located, locally -large groups.
Classifying spaces for families of subgroups of 8-located groups
Ioana-Claudia Lazăr
We investigate the structure of the minimal displacement set in -located complexes with the SD'-property. We show that such set embeds isometrically into the complex. Since -…
The collapsibility of CAT(0) square 2-complexes
Ioana-Claudia Lazăr
We give a sufficient condition for the collapsibility of finite square 2-complexes. We show that any finite, CAT(0) square 2-complex retracts to a point through CAT(0) subspaces.
Recurrence relations in (s,t)-uniform simplicial complexes
Ioana-Claudia Lazăr
We introduce -uniform simplicial complexes. We show that the lengths of spheres in minimal filling diagrams associated to loops in such complexes are the terms of certain re…
Lucas sequences in t-uniform simplicial complexes
Ioana-Claudia Lazăr
We introduce t-uniform simplicial complexes and we show that the lengths of spheres in such complexes are the terms of certain Lucas sequences. We find optimal constants for the li…