Logo

Higher-Dimensional Categories: an illustrated guide book

Small book cover: Higher-Dimensional Categories: an illustrated guide book

Higher-Dimensional Categories: an illustrated guide book
by

Publisher: University of Sheffield
Number of pages: 182

Description:
This work gives an explanatory introduction to various definitions of higher-dimensional category. The emphasis is on ideas rather than formalities; the aim is to shed light on the formalities by emphasizing the intuitions that lead there. To aid this, the tone is informal and there are copious pictures.

Home page url

Download or read it online for free here:
Download link
(1.7MB, PDF)

Similar books

Book cover: Category Theory in ContextCategory Theory in Context
by - Dover Publications
This is a concise, original text for a one-semester introduction to the subject. The treatment introduces the essential concepts of category theory: categories, functors, natural transformations, the Yoneda lemma, limits and colimits, monads, etc.
(5217 views)
Book cover: Seven Sketches in Compositionality: An Invitation to Applied Category TheorySeven Sketches in Compositionality: An Invitation to Applied Category Theory
by - arXiv.org
This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. The tour takes place over seven sketches, such as databases, electric circuits, etc, with the exploration of a categorical structure.
(5514 views)
Book cover: Combinatorics and Algebra of Tensor CalculusCombinatorics and Algebra of Tensor Calculus
by - arXiv
In this paper, we reveal the combinatorial nature of tensor calculus for strict tensor categories and show that there exists a monad which is described by the coarse-graining of graphs and characterizes the algebraic nature of tensor calculus.
(5730 views)
Book cover: Seminar on Triples and Categorical Homology TheorySeminar on Triples and Categorical Homology Theory
by - Springer
This volume concentrates a) on the concept of 'triple' or standard construction with special reference to the associated 'algebras', and b) on homology theories in general categories, based upon triples and simplicial methods.
(11028 views)