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Structures in Categories

  • Saunders Mac Lane
Part of the Graduate Texts in Mathematics book series (GTM, volume 5)

Abstract

In this chapter, we will examine several conceptual developments. We start with the idea of an “internal” category, described by diagrams within an ambient category. We then go on to study the sequences of composable arrows in a category — they constitute the “nerve” of the category, which turns out to be a simplicial set.

Keywords

Natural Transformation Category Object Monoidal Category Ordinary Category Composable Pair 
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.

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Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Saunders Mac Lane
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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