Cargando…
Basic category theory
At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable f...
Autor principal: | |
---|---|
Lenguaje: | eng |
Publicado: |
Cambridge University Press
2014
|
Materias: | |
Acceso en línea: | http://cds.cern.ch/record/2043795 |
_version_ | 1780947881693282304 |
---|---|
author | Leinster, Tom |
author_facet | Leinster, Tom |
author_sort | Leinster, Tom |
collection | CERN |
description | At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations. Copious exercises are included. |
id | cern-2043795 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2014 |
publisher | Cambridge University Press |
record_format | invenio |
spelling | cern-20437952021-04-21T20:06:52Zhttp://cds.cern.ch/record/2043795engLeinster, TomBasic category theoryMathematical Physics and MathematicsAt the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in courses or for independent study. Assuming relatively little mathematical background, it is ideal for beginning graduate students or advanced undergraduates learning category theory for the first time. For each new categorical concept, a generous supply of examples is provided, taken from different parts of mathematics. At points where the leap in abstraction is particularly great (such as the Yoneda lemma), the reader will find careful and extensive explanations. Copious exercises are included.Cambridge University Pressoai:cds.cern.ch:20437952014 |
spellingShingle | Mathematical Physics and Mathematics Leinster, Tom Basic category theory |
title | Basic category theory |
title_full | Basic category theory |
title_fullStr | Basic category theory |
title_full_unstemmed | Basic category theory |
title_short | Basic category theory |
title_sort | basic category theory |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/2043795 |
work_keys_str_mv | AT leinstertom basiccategorytheory |