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Group theory --- Three-manifolds (Topology) --- Topological imbeddings --- Embeddings, Topological --- Imbeddings, Topological --- Topological embeddings --- Embeddings (Mathematics) --- 3-manifolds (Topology) --- Manifolds, Three dimensional (Topology) --- Three-dimensional manifolds (Topology) --- Low-dimensional topology --- Topological manifolds --- Plongements topologiques --- Plongements topologiques.
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...there are reasons enough to warrant a coherent treatment of the main body of differential topology in the realm of Banach manifolds, which is at the same time correct and complete. This book fills the gap: whenever possible the manifolds treated are Banach manifolds with corners. Corners add to the complications and the authors have carefully fathomed the validity of all main results at corners. Even in finite dimensions some results at corners are more complete and better thought out here than elsewhere in the literature. The proofs are correct and with all details. I see this book as a
Differentiaal"topologie --- Differential topology --- Topologie differentielle --- Topologie différentielle. --- Topologia diferencial. --- Differential topology. --- Topologie différentielle --- Geometry, Differential --- Topology --- Topological algebras. --- Algebras, Topological --- Functional analysis --- Linear topological spaces --- Rings (Algebra)
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Ergodic theory. Information theory --- Ergodic theory --- Measure theory --- Topological dynamics --- Congresses. --- 51 --- -Measure theory --- -Topological dynamics --- -Dynamics, Topological --- Differentiable dynamical systems --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Transformations (Mathematics) --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Dynamics, Topological --- Ergodic theory - Congresses. --- Measure theory - Congresses. --- Topological dynamics - Congresses.
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Espaces topologiques lineaires --- Lineaire topologische ruimten --- Linear topological spaces --- 517.982.2 --- Topological linear spaces --- Topological vector spaces --- Vector topology --- Topology --- Vector spaces --- Topological linear spaces. Banach spaces. Hilbert spaces. Fre_/chet spaces --- 517.982.2 Topological linear spaces. Banach spaces. Hilbert spaces. Fre_/chet spaces
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Algebraic topology --- Chirurgie (Topologie) --- Complexen [Cochain ] --- Complexes Cochain --- Complexes [Cochain ] --- Formes quadratiques --- Forms [Quadratic ] --- Heelkunde (Topologie) --- Surgery (Topology) --- Topological manifolds --- Topologische menigvuldigheden --- Varietes topologiques --- Vormen [Quadratische ] --- Forms, Quadratic --- Complexes, Cochain --- Forms, Quadratic. --- Cochain complexes. --- Topological manifolds.
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Differential geometry. Global analysis --- Dynamique topologique --- Iteratie (Wiskunde) --- Iteration (Mathematiques) --- Iterative methods (Mathematics) --- Topological dynamics --- Topologische dynamica --- 51 --- Dynamics, Topological --- Differentiable dynamical systems --- Iteration (Mathematics) --- Numerical analysis --- Mathematics --- 51 Mathematics
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Group theory --- Operator theory --- 517.986 --- 51 --- Topological algebras. Theory of infinite-dimensional representations --- Mathematics --- 51 Mathematics --- 517.986 Topological algebras. Theory of infinite-dimensional representations --- Linear operators --- Semigroups of operators. --- Linear operators.
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Topological groups. Lie groups --- Homotopy groups --- Mappings (Mathematics) --- Sphere --- Topological degree --- Degree, Topological --- Degree (Topology) --- Degree theory --- Algebraic topology --- Geometry, Solid --- Shapes --- Orbs --- Maps (Mathematics) --- Functions --- Functions, Continuous --- Topology --- Transformations (Mathematics) --- Group theory --- Homotopy theory --- Groupes d'homotopie --- Applications (mathématiques) --- Sphère --- Groupes d'homotopie. --- Sphère.
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This monograph gives access to the theory of continuous linear representations of general real Lie groups to readers who are already familiar with the rudiments of functional analysis and Lie groups. The first half of the book is centered around the relation between a continuous linear representation (of a Lie group over a Banach space or even a more general space) and its tangent; the latter is a Lie algebra representation in a sense. Starting with the Hille-Yosida theory, quite recent results are reached. The second half is more standard unitary theory with applications concerning the
Lie groups. --- Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups
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