Adjoint exactness

Michael Heather, Nick Rossiter

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

Plato's ideas and Aristotle's real types from the classical age, Nominalism and Realism of the mediaeval period and Whitehead's modern view of the world as pro- cess all come together in the formal representation by category theory of exactness in adjointness (a). Concepts of exactness and co-exactness arise naturally from ad- jointness and are needed in current global problems of science. If a right co-exact valued left-adjoint functor ( ) in a cartesian closed category has a right-adjoint left- exact functor ( ), then physical stability is satis ed if itself is also a right co-exact left-adjoint functor for the right-adjoint left exact functor ( ): a a . These concepts are discussed here with examples in nuclear fusion, in database interroga- tion and in the cosmological ne structure constant by the Frederick construction.
Original languageEnglish
Title of host publicationExactness: Proceedings of ANPA 29
Place of PublicationCambridge
PublisherANPA
Number of pages339
Publication statusPublished - 2008
Externally publishedYes
EventExactness: ANPA 29 - Cambridge
Duration: 1 Jan 2008 → …

Conference

ConferenceExactness: ANPA 29
Period1/01/08 → …

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