Mathematical applications of category theory

Contributor(s): Gray John WMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 30Publication details: Providence, R.I. : American Mathematical Society, c1984Description: 1 online resource (vii, 307 p.)ISBN: 9780821876152 (online)Subject(s): Categories (Mathematics)Online resources: Click here to access online
Contents:
Introduction ; The interaction between category theory and set theory ; Synthetic calculus of variations ; The representation of limits, lax limits and homotopy limits as sections ; Open locales and exponentiation ; EilenbergMacLane toposes and cohomology ; A combinatorial theory of connections ; Aspects of higher order categorical logic ; A Stonetype representation theory for first order logic ; Topological universes and smooth GelfandNaimark duality ; Applications of the dual functor in Banach spaces John W Gray ; Andreas Blass ; Marta Bunge and Murray Heggie ; John W Gray ; Peter T Johnstone ; A Joyal and G Wraith ; Anders Kock ; J Lambek and P J Scott ; M Makkai ; L D Nel ; Joan Wick Pelletier
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Proceedings of the special session on mathematical applications of category theory, 89th Annual Meeting of the American Mathematical Society, held in Denver, Colorado, January 59, 1983T.p. verso.

Includes bibliographies.

Introduction ; The interaction between category theory and set theory ; Synthetic calculus of variations ; The representation of limits, lax limits and homotopy limits as sections ; Open locales and exponentiation ; EilenbergMacLane toposes and cohomology ; A combinatorial theory of connections ; Aspects of higher order categorical logic ; A Stonetype representation theory for first order logic ; Topological universes and smooth GelfandNaimark duality ; Applications of the dual functor in Banach spaces John W Gray ; Andreas Blass ; Marta Bunge and Murray Heggie ; John W Gray ; Peter T Johnstone ; A Joyal and G Wraith ; Anders Kock ; J Lambek and P J Scott ; M Makkai ; L D Nel ; Joan Wick Pelletier

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