Categories for the Working Mathematician begins with foundations, illuminating concepts such as category, functor, natural transformation, and duality. It then continues by extensively illustrating these categorical concepts while presenting applications to more advanced topics. This second edition includes many revisions and additions.Hence a universal cone on 0 is an object t of C such that each object ceC has a unique arrow caagt;t. In other words, a limit of the empty functor to C is a terminal object of C. Limits are sometimes defined for diagrams rather than for functors.
|Title||:||Categories for the Working Mathematician|
|Author||:||Saunders Mac Lane|
|Publisher||:||Springer Science & Business Media - 1998-09-25|