Search Results - "Automorphism"

An Introduction to Groups, Groupoids and Their Representations by Ibort, Alberto

Table of Contents: “…5.2 An interlude: Categories and databases5.2.1 A simple database: Classes and courses; 5.2.2 Databases and functors; 5.3 Homomorphisms of groupoids; 5.3.1 Homomorphisms of groupoids: Basic notions; 5.3.2 Exact sequences of homomorphisms of groupoids; 5.3.3 Homomorphisms of groupoids, direct unions and products of groupoids; 5.3.4 Groupoids of automorphisms; 5.4 Equivalence: Natural transformations; 5.4.1 Equivalence of categories; 5.4.2 The notion of natural transformation; 6. …”
Taylor & Francis
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Differential Geometry of Manifolds by Lovett, Stephen (Stephen T.)

Table of Contents: “…3.2 Differentiable Maps between Manifolds -- 3.3 Tangent Spaces -- 3.4 The Differential of a Differentiable Map -- 3.5 Manifolds with Boundaries -- 3.6 Immersions, Submersions, and Submanifolds -- 3.7 Orientability -- 4: Multilinear Algebra -- 4.1 Hom Space and Dual -- 4.2 Bilinear Forms and Inner Products -- 4.3 Adjoint, Self-Adjoint, and Automorphisms -- 4.4 Tensor Product -- 4.5 Components of Tensors over V -- 4.6 Symmetric and Alternating Products -- 4.7 Algebra over a Field -- 5: Analysis on Manifolds -- 5.1 Vector Bundles on Manifolds -- 5.2 Vector and Tensor Fields on Manifolds…”
Taylor & Francis
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