Boundaries of systolic groups
Copyright policy )Boundaries of systolic groups
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.
74 pages
- Institute of Mathematics Poland
- Polish Academy of Sciences Poland
- University of Wrocław Poland
- Polish Academy of Learning Poland
systolic group, 20F67, simplicial nonpositive curvature, 20F69, Geometric Topology (math.GT), Group Theory (math.GR), boundaries of groups, Mathematics - Geometric Topology, $Z$–set compactification, FOS: Mathematics, 20F65, Mathematics - Group Theory, 20F65; 20F67; 20F69
systolic group, 20F67, simplicial nonpositive curvature, 20F69, Geometric Topology (math.GT), Group Theory (math.GR), boundaries of groups, Mathematics - Geometric Topology, $Z$–set compactification, FOS: Mathematics, 20F65, Mathematics - Group Theory, 20F65; 20F67; 20F69
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