Boundaries of systolic groups
classification
🧮 math.GR
math.GT
keywords
systolicgroupsboundariesgeodesicsboundarycoarselycomplexconjecture
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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.
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