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Loop spaces --- Low-dimensional topology --- Topology, Low-dimensional --- Algebraic topology --- Manifolds (Mathematics) --- Spaces, Loop --- Homotopy theory --- Topological spaces
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Group theory --- Homotopy groups. --- Homotopy theory. --- Loop spaces. --- Group theory. --- Groupes d'homotopie. --- Homotopie. --- Espaces de lacets. --- Groupes, Théorie des. --- Homotopy groups --- Homotopy theory --- Loop spaces --- Spaces, Loop --- Topological spaces --- Deformations, Continuous --- Topology --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra
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Topological groups. Lie groups --- Finite groups. --- Groupes finis. --- Homotopy theory. --- Homotopie. --- Loop spaces. --- Espaces de lacets. --- Finite groups --- Homotopy theory --- Loop spaces --- Deformations, Continuous --- Topology --- Groups, Finite --- Group theory --- Modules (Algebra) --- Spaces, Loop --- Topological spaces
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Loop spaces --- Cobar construction (Topology) --- Functor theory --- Complexes, Semisimplicial --- Spaces, Loop --- Homotopy theory --- Topological spaces --- Functorial representation --- Algebra, Homological --- Categories (Mathematics) --- Functional analysis --- Transformations (Mathematics) --- Semisimplicial complexes --- Algebraic topology --- Complexes --- Construction, Cobar (Topology) --- Topology --- Loop spaces. --- Functor theory. --- Complexes, Semisimplicial. --- Espaces de lacets --- Foncteurs, Théorie des --- Complexes semi-simpliciaux --- Espaces de lacets. --- Foncteurs, Théorie des. --- Complexes semi-simpliciaux.
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The subject of this book is string topology, Hochschild and cyclic homology. The first part consists of an excellent exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topological cyclic homology. The book provides many references for the reader wishing to learn more about the subject, to which it gives a perfect introduction. It is therefore suitable for both graduate students and established researchers. It is certainly the best source of much information that was until now available only to specialists and covers material from the elementary bases to the most recent developments.
Loop spaces. --- Homotopy theory. --- Complex manifolds. --- Differential topology. --- Algebraic topology. --- Topology --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Spaces, Loop --- Homotopy theory --- Topological spaces --- Deformations, Continuous --- Cell aggregation --- Mathematical physics. --- Algebraic Topology. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Mathematical Methods in Physics. --- Mathematics. --- Physical mathematics --- Physics --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Mathematics --- Manifolds (Mathematics). --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics
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Topological groups. Lie groups --- 515.142 --- H-spaces --- Loop spaces --- Representations of groups --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Spaces, Loop --- Homotopy theory --- Topological spaces --- Hopf spaces --- Spaces, Hopf --- Topological groups --- General theorems on fundamental categories and functors --- 515.142 General theorems on fundamental categories and functors --- Loop spaces. --- H-spaces. --- Representations of groups. --- Espaces de lacets --- H-espaces --- Représentations de groupes --- Espaces de lacets. --- H-espaces. --- Représentations de groupes.
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