Name: Categories as Mathematical Models
Creator: David I. Spivak
Keywords: 2. Zero hunger, 18-01, 05 social sciences, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), 06 humanities and the arts, 0509 other social sciences, 0603 philosophy, ethics and religion, 3. Good health

descriptionPublicationkeyboard_double_arrow_right Book , Article , Preprint 18 Jan 2018Embargo end date: 01 Jan 2014Publisher:Oxford University Press (OUP)

Authors: David I. Spivak;

doi: 10.1093/oso/9780198748991.003.0016 , 10.48550/arxiv.1409.6067

arXiv: http://arxiv.org/abs/1409.6067

Categories as Mathematical Models

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Abstract

Category theory is presented as a mathematical modelling framework that highlights the relationships between objects, rather than the objects in themselves. A working definition of model is given, and several examples of mathematical objects, such as vector spaces, groups, and dynamical systems, are considered as categorical models.

Related Organizations

Massachusetts Institute of Technology
United States

Keywords

18-01, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT)

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