TY  - BOOK
AU  - Leinster,Tom
TI  - Basic category theory
T2  - Cambridge studies in advanced mathematics
SN  - 9781107360068 (ebook)
AV  - QA169 .L438 2014
U1  - 512/.62 23
PY  - 2014///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Categories (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); Categories, functors and natural transformations -- Adjoints -- Interlude on sets -- Representables -- Limits -- Adjoints, representables and limits -- Appendix: Proof of the general adjoint functor theorem
N2  - 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
UR  - https://doi.org/10.1017/CBO9781107360068
ER  -