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PART I - ABSTRACT ALGEBRAIC CATEGORIES

Published online by Cambridge University Press:  01 June 2011

J. Adámek ,
J. Rosický  and
E. M. Vitale
Foreword by
F. W. Lawvere
J. Adámek
Affiliation:
Technische Universität Carolo Wilhelmina zu Braunschweig, Germany
J. Rosický
Affiliation:
Masarykova Univerzita v Brně, Czech Republic
E. M. Vitale
Affiliation:
Université Catholique de Louvain, Belgium
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Summary

It should be observed first that the whole concept of category is essentially an auxiliary one; our basic concepts are those of a functor and a natural transformation.

– S. Eilenberg and S. Mac Lane (1945), General theory of natural equivalences, Trans. Amer. Math. Soc.58: 247
Type
Chapter
Information
Algebraic Theories
A Categorical Introduction to General Algebra
 , pp. 1 - 2
Publisher: Cambridge University Press
Print publication year: 2010

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