Discrete geometry and topology : on the 100th anniversary of the birth of Boris Nikolaevich Delone : collection of papers
著者
書誌事項
Discrete geometry and topology : on the 100th anniversary of the birth of Boris Nikolaevich Delone : collection of papers
（Proceedings of the Steklov Institute of Mathematics, v. 196,
American Mathematical Society, c1993
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Дискретная геометрия и топология
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注記
Translated from the Russian
Includes table of contents also in Russian
Includes bibliographical references
内容説明・目次
内容説明
This collection of papers honors the 100th anniversary of the birth of Boris Nikolaevich Delone, whose mathematical interests centered on the geometry of positive quadratic forms. After an initial paper presenting an account of Delone's life, including his scientific work, the book centers on discrete geometry and combinatorics. The book presents new methods that permit a description of the structure of some $L$-bodies and $L$-partitionings and that, in many cases, provide a definitive description. Also studied are combinatorial-topological problems arising in the statistical Ising model, the disposition of finite point sets in convex bodies of high dimension under certain conditions, and investigations of regular partitionings of spaces of constant curvature.
目次
Boris Nikolaevich Delone (on his life and creative work) by D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, and M. I. Shtogrin On variations of positive quadratic forms (with applications to the study of perfect forms) by M. M. Anzin Partitioning of Euclidean space into $L$-polytopes of some perfect lattices by E. P. Baranovskii Spanier-Whitehead duality and the stability of the intersection of compacta by A. N. Dranishnikov Combinatorial questions of the two-dimensional Ising model by N. P. Dolbilin, M. A. Shtanko, and M. I. Shtogrin Quadrillages and parametrizations of lattice cycles by N. P. Dolbilin, M. A. Shtanko, and M. I. Shtogrin On mappings of cubic manifolds into the standard lattice of Euclidean space by O. R. Karalashvili On the curvatures of tangent spheres by M. D. Kovalev On a nonregular partitioning of $n$-dimensional Lobachevsky space by congruent polytopes by V. S. Makarov On a geodesic on a Seifert-Weber manifold by V. S. Makarov and K. P. Makarova Projective Euclidean geometry and noncommutative probability theory by E. A. Morozova and N. N. Chentsov Three-dimensional spherical forms by M. M. Postnikov On the dissociation of point systems by S. S. Ryshkov, S. A. Chepanov, and N. N. Yakovlev Homology on presheaves of sets by K. A. Sitnikov and E. E. Skurikhin Dual systems of integer vectors and their application to the theory of $(0,1)$-matrices by S. S. Ryshkov and R. M. Erdal.
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