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CATEGORIES OF DIAGRAMS

Steve Awodey

in Category Theory

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.003.0008
Subject:
Mathematics, Algebra

This chapter presents the proof for the Yoneda Lemma, which is probably the single most used result in category theory. It is interesting how often it comes up, especially in view of the fact that it ... More


Stock Situations, Topoi and the Greekness of Greek Historiography

Lisa Irene Hau

in Defining Greek Narrative

Published in print:
2014
Published Online:
September 2014
ISBN:
9780748680108
eISBN:
9780748697007
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9780748680108.003.0012
Subject:
Classical Studies, Ancient Greek, Roman, and Early Christian Philosophy

This chapter focuses on our surviving historiographic texts from the fifth to the first century BC : Herodotus, Thucydides, Xenophon, Polybius, and Diodorus of Sicily. Greek historiography dealt with ... More


Diagrams of Difference: Adjunctions and Topoi

Rocco Gangle

in Diagrammatic Immanence: Category Theory and Philosophy

Published in print:
2015
Published Online:
September 2016
ISBN:
9781474404174
eISBN:
9781474418645
Item type:
chapter
Publisher:
Edinburgh University Press
DOI:
10.3366/edinburgh/9781474404174.003.0007
Subject:
Philosophy, Metaphysics/Epistemology

This chapter examines two advanced constructions in category theory: adjoint functors and topoi. Pairs of adjoint functors, or adjunctions, are formally defined and then illustrated with several ... More


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