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Burago, Yuri; Gromov, Mikhail
Leonidovich; Perelman, Grigori (1992). "A.D. Alexandrov spaces with curvature bounded below".
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is either a non-negative integer or infinite. One can define a notion of "angle" and "tangent cone" in these spaces.
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Aleksandrov, A D; Berestovskii, V N; Nikolaev, I G (1986-01-01). "Generalized
Riemannian spaces".
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in the space to geodesic triangles in standard constant-curvature
Riemannian surfaces.
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154:. Daewoo Workshop on Differential Geometry. Kwang Won University, Chunchon, Korea.
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where the lower curvature bound is defined via comparison of
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in 1992 and were later used in
Perelman's proof of the
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is some real number. By definition, these spaces are
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145:Kathusiro Shiohama (July 13–17, 1992).
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105:named after the Russian topologist
93:Alexandrov spaces with curvature ≥
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25:Alexandrov spaces with curvature ≥
265:. You can help Knowledge (XXG) by
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109:. They were studied in detail by
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99:Aleksandr Danilovich Aleksandrov
232:10.1070/RM1992v047n02ABEH000877
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167:Russian Mathematical Surveys
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103:Alexandrov-discrete spaces
30:form a generalization of
207:. Springer. p. 704.
203:Berger, Marcel (2003).
80:Gromov-Hausdorff metric
63:One can show that the
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220:Russian Math. Surveys
322:Riemannian manifolds
32:Riemannian manifolds
123:Poincaré conjecture
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226:(2): 1–58.
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