Mathematics – Group Theory
Scientific paper
2008-08-17
Mathematics
Group Theory
74 pages
Scientific paper
For all systolic groups we construct boundaries which are EZ--structures.
This implies the Novikov conjecture for torsion--free systolic groups. The
boundary is constructed via a system of distinguished geodesics in a systolic
complex, which we prove to have coarsely similar properties to geodesics in
CAT(0) spaces.
Osajda Damian
Przytycki Piotr
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