Abstract
In modern mathematics whenever one defines a new class of mathematical objects one proceeds almost in the next breath to say what kinds of functions between objects will be considered; thus, for example, topological spaces and continuous functions, groups and homomorphisms, rings and ring homomorphisms. If we formalize this observation, we are led to the notion of a category.
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© 2002 Springer-Verlag Berlin Heidelberg
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Switzer, R.M. (2002). Categories, Functors and Natural Transformations. In: Algebraic Topology — Homotopy and Homology. Classics in Mathematics, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61923-6_2
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DOI: https://doi.org/10.1007/978-3-642-61923-6_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42750-6
Online ISBN: 978-3-642-61923-6
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