000			a
999			_c31078 _d31078
008			221104b xxu||||| |||| 00| 0 eng d
020			_a9781107360068
082			_a512.62 _bLEI
100			_aLeinster, Tom
245			_aBasic category theory
260			_bCambridge University Press, _c2014 _aCambridge :
300			_aviii, 183 p. ; _bill _c24 cm
365			_b46.99 _cGBP _d95.20
490			_aCambridge studies in advanced mathematics _vv. 143
504			_aIncludes bibliographical references and index.
520			_aAt 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.
650			_aMathematics
650			_aAdjoint functor theorems
650			_a Cartesian closed category
650			_aComma category
650			_aCantor-Berstein theorem
650			_a Duality
650			_aEquivalence relation
650			_aForgetful functor
650			_aHolomorphic function
650			_aIsomorphism
650			_aLeast element
650			_aMonoid
650			_a Natural transformation
650			_a Ordered set
650			_aPreosheaf
650			_a Topological space
650			_aYoneda lemma
942			_2ddc _cBK