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SUMMARY:Basic Concepts of Enriched Category Theory - Nigel Burke
DTSTART:20141113T140000Z
DTEND:20141113T150000Z
UID:TALK56211@talks.cam.ac.uk
CONTACT:Sean Moss
DESCRIPTION:Sets appear everywhere in category theory.  The definitions of
  locally small categories\, limits and colimits\, and many results includi
 ng the Yoneda lemma are given in terms of sets and maps between them.  The
  idea of enriched category theory is to systematically replace sets and fu
 nctions in these results with objects and morphisms from another category.
   In my talk I will define and discuss some of the basic notions of enrich
 ed category theory and prove an enriched version of the Yoneda lemma.  I w
 ill also discuss some examples of how some other mathematical objects can 
 be viewed as enriched categories.
LOCATION:CMS\, MR13
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