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math.GT2013★ 17 cited
Cancelation norm and the geometry of biinvariant word metrics
Michael Brandenbursky, Światosław R. Gal, Jarek Kędra +1
We study biinvariant word metrics on groups. We provide an efficient algorithm for computing the biinvariant word norm on a finitely generated free group and we construct an isomet…
math.GT2011
\int_x^{hx}(g^*α-α)
Światosław R. Gal, Jarek Kędra
Let X be a connected topological space admitting a universal cover. Let a be a degree one cohomology class on X. We define and study a two-cocycle on a group acting on X by homeomo…
math.GT2006★ 6 cited
Asymptotic dimension and uniform embeddings
S. R. Gal
We show that the type function of a space with finite asymptotic dimension estimates its Hilbert (or any ) compression. The method allows to obtain the lower bound of the comp…