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Analyse fonctionnelle --- Functional analysis. --- Espaces de sobolev --- Imbeddings mathematics
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Topology --- Embeddings (Mathematics) --- Extrapolation --- Approximation theory --- Numerical analysis --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Extrapolation. --- Plongements (mathématiques)
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Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings arise as time-1-maps of Hamiltonian flows. The spectacular rigidity phenomena for symplectic mappings discovered in the last two decades show that certain things cannot be done by a symplectic mapping. For instance, Gromov's famous ""non-squeezing'' theorem states that one cannot map a ball into a thinner cylinder by a symplectic embedding. The aim of this book is to show that certain other things can be done by symplectic mappings. This is achieved by various elementary and explicit symplectic embedding.
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Algebraic geometers have renewed their interest in the interplay between algebraic vector bundles and projective embeddings. New methods have been developed for questions such as: what is the geometric content of syzygies and of bundles derived from them? how can they be used for giving good compactifications of natural families? which differential techniques are needed for the study of families of projective varieties? Such problems have often been reformulated over the last decade; often the need for a deeper analysis of the works of classical algebraic geometers was recognised. These questions were addressed at successive conferences held in Trieste and Bergen. New results, work in progress, conjectures and modern accounts of classical ideas were presented. This collection represents a development of the work conducted at the conferences; the Editors have taken the opportunity to mould the papers into a cohesive volume.
Geometry, Algebraic --- Vector bundles --- Embeddings (Mathematics) --- Algebraic varieties --- Varieties, Algebraic --- Linear algebraic groups --- Imbeddings (Mathematics) --- Immersions (Mathematics) --- Fiber spaces (Mathematics)
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Group theory --- Frattini subgroups. --- Conjugacy classes. --- Embeddings (Mathematics) --- Plongements (mathématiques) --- Conjugacy classes --- Frattini subgroups --- Subgroups, Frattini --- Maximal subgroups --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Classes of conjugate elements
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Torus (Geometry) --- Embeddings (Mathematics) --- 512.7 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Anchor ring --- Ring, Anchor --- Manifolds (Mathematics) --- Surfaces --- Topological spaces --- Cone --- Geometry, Descriptive --- Geometry, Solid
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The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry. At the same time, the book has been completely re-typeset, errors have been eliminated, proofs have been streamlined, the notation has been made consistent and uniform, an index has been added, and a guide to recent literature has been added. The book brings together ideas from algebraic geometry, differential geometry, representation theory and number theory, and will continue to prove of value for researchers and graduate students in these areas.
Lie groups. --- Symmetric spaces. --- Algebraic varieties. --- Embeddings (Mathematics) --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Varieties, Algebraic --- Linear algebraic groups --- Spaces, Symmetric --- Geometry, Differential --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Algebraic geometry
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This monograph identifies polytopes that are ""combinatorially l1-embeddable"", within interesting lists of polytopal graphs, i.e. such that corresponding polytopes are either prominent mathematically (regular partitions, root lattices, uniform polytopes and so on), or applicable in chemistry (fullerenes, polycycles, etc.). The embeddability, if any, provides applications to chemical graphs and, in the first case, it gives new combinatorial perspective to ""l2-prominent"" affine polytopal objects. The lists of polytopal graphs in the book come from broad areas of geometry, crystallography an
Graph theory. --- Polytopes. --- Metric spaces. --- Embeddings (Mathematics) --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Spaces, Metric --- Generalized spaces --- Set theory --- Topology --- Hyperspace --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Extremal problems
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The Bidual of C(X) I
Analytical spaces --- Banach spaces --- Duality theory (Mathematics) --- Embeddings (Mathematics) --- 515.12 --- 517.986 --- 517.986 Topological algebras. Theory of infinite-dimensional representations --- Topological algebras. Theory of infinite-dimensional representations --- 515.12 General topology --- General topology --- Imbeddings (Mathematics) --- Geometry, Algebraic --- Immersions (Mathematics) --- Algebra --- Mathematical analysis --- Topology --- Functions of complex variables --- Generalized spaces --- Banach spaces.
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