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Part of the Compact Textbooks in Mathematics book series (CTM)

Abstract

Before giving the definition of a category, we must briefly (and somewhat informally) discuss a notion from the foundations of mathematics. In category theory, one often wishes to speak of “the category of (all) sets” or “the category of (all) groups.” However, it is well known that these descriptions cannot be made precise within the context of sets alone.

Keywords

Target Object Category Theory Initial Object Small Category Object Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Reference

  1. 8.
    Eilenberg, S., Mac Lane, S.: Natural isomorphisms in group theory. Proc. Natl. Acad. Sci. U. S. A. 28, 537–542 (1942)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© The Author(s) 2017

Authors and Affiliations

  1. 1.California State University, FullertonIrvineUSA

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