000			02146nam a2200337Ia 4500
003			OSt
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008			241112s9999 xx 000 0 und d
020			_a9783642083990 (pbk.) _c€ 139.99
040			_bENG _cIISER-BPR
041			_aENG
082			_a514.352 _bBRI _223rd
100			_aBridson, Martin R. _91076
222			_aMathematics
245		0	_aMetric spaces of non-positive curvature
250			_a1st ed.
260			_aBerlin: _bSpringer-Verlag, _cc1999.
300			_axxi, 643p. : _bill. ; _c24cm
440			_aA Series of Comprehensive Studies in Mathematics _vVol. 319 _92596
504			_aIncludes appendices, bibliographic references and subject index.
520			_aThe purpose of this book is to describe the global properties of complete simply­ connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov .
650			_aMathematics _92597
650			_aTopology _92598
650			_aTopology of spaces _92599
650			_aMetric Spaces _92600
700			_aHaefliger, André _92601
942			_cBK _2ddc
942			_2ddc
947			_a12830.083500000002
948			_a22
999			_c4216 _d4216