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.
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© 1978 Springer Science+Business Media New York
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Mac Lane, S. (1978). Structures in Categories. In: Categories for the Working Mathematician. Graduate Texts in Mathematics, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4721-8_13
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DOI: https://doi.org/10.1007/978-1-4757-4721-8_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3123-8
Online ISBN: 978-1-4757-4721-8
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