Citations:discrete category


 * 2004, Joachim Kock, Frobenius Algebras and 2-D Topological Quantum Field Theories, Cambridge University Press (ISBN 9780521540315), page 157:
 * Thus a discrete category is specified completely by specifying its objects. Conversely, every set S can be considered a discrete category S: just take the  objects of S to be the elements of S, and take no arrows other than the identity  arrows.
 * 2014, David I. Spivak, Category Theory for the Sciences, MIT Press (ISBN 9780262320535), page 284:
 * Let $$n \in \mathbb{N}$$, and let  n  be the set with n elements, considered as a discrete category. 13 In other words, we write  n  to mean what should really be called Disc( n ).
 * 2014, Tom Leinster, Basic Category Theory, Cambridge University Press (ISBN 9781139992855), page 27:
 * To see how this might work, let us consider a special case. Let $$\mathcal{A}$$ be the discrete category (Example 1.1.8(b)) whose objects are the natural numbers 0, 1, 2, .... A functor F from $$\mathcal{A}$$ to another category $$\mathcal{B}$$ is simply a sequence $$(F_0, F_1, F_2, ...)$$ of objects of $$\mathcal{B}$$.