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Categories And Functors (pure And Applied Mathematics, Vol. 39) by Bodo Pareigis is a nonfiction available to read on EtoBox.

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CONTENTS ======== Preface 1. Preliminary Notions 1.1 Definition of a Category 1.2 Functors and Natural Transformations 1.3 Representable Functors 1.4 Duality 1.5 Monomorphisms. Epimorphisms. and Isomorphisms 1.6 Subobjects and Quotient Objects 1.7 Zero Objects and Zero Morphisms 1.8 Diagrams 1.9 Difference Kernels and Difference Cokernels 1.10 Sections and Retractions 1.11 Products and Coproducts 1.12 Intersections and Unions 1.13 Images. Coimages. and Counterimages 1.14 Multifunctors 1.15 The Yoneda Lemma 1.16 Categories as Classes Problems 2. Adjoint Functors and Limits 2.1 Adjoint Functors 2.2 Universal Problems 2.3 Monads 2.4 Reflexive Subcategories 2.5 Limits and Colimits 2.6 Special Limits and Colimits 2.7 Diagram Categories 2.8 Constructions with Limits 2.9 The Adjoint Functor Theorem 2.10 Generators and Cogenerators 2.11 Special Casesof the Adjoint Functor Theorem 2.12 Full and Faithful Functors Problems 3. Universal Algebra 3.1 Algebraic Theories 3.2 Algebraic Categories 3.3 Free Algebras 3.4 Algebraic Functors 3.5 Examples of Algebraic Theories and Functors 3.6 Algebras in Arbitrary Categories Problems 4. Abelian Categories 4.1 Additive Categories 4.2 Abelian Categories 4

Who reads Categories And Functors (pure And Applied Mathematics, Vol. 39)?

Author

Bodo Pareigis

Publisher

Academic Press, Incorporated

Published

1970

Language

EN

ISBN

9780125451505

Category

nonfiction

Subjects

Computer Science, Mathematics, Stem