By Martin R. Bridson
An outline of the worldwide homes of simply-connected areas which are non-positively curved within the experience of A. D. Alexandrov, and the constitution of teams which act on such areas by means of isometries. the speculation of those items is constructed in a way available to a person acquainted with the rudiments of topology and staff concept: non-trivial theorems are proved through concatenating easy geometric arguments, and lots of examples are given. half I presents an creation to the geometry of geodesic areas, whereas half II develops the fundamental concept of areas with higher curvature bounds. extra really expert subject matters, reminiscent of complexes of teams, are lined partly III.
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