Ross Geoghegan

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This paper is about geometric and topological properties of a proper CAT(0) space X which is cocompact-i.e. which has a compact generating domain with respect to the full isometry group. It is shown that geodesic segments in X can " almost " be extended to geodesic rays. A basic ingredient of the proof of this geometric statement is the topological theorem(More)
Given a set S equipped with a binary operation (we call this a " bracket algebra ") one may ask to what extent the binary operation satisfies some of the consequences of the associative law even when it is not actually associative? We define a subgroup As-soc(S) of Thompson's Group F for each bracket algebra S, and we interpret the size of Assoc(S) as(More)
Thèse dirigée par Louis FUNAR et Josep BURILLO préparée au sein de l'Institut Fourier (UMR 5582) et du Departament de Matemàtica Aplicada IV et desécoles doctorales ED MSTII et ED UPC Sur la g ´ eométrie et la combinatoire du groupe T de R. Lance toi, comme si tu n'avais pas peur. Aknowledgements I acknowledge funding from " La Fundació La Caixa en(More)
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