Abstract
Category theory starts with the observation that many properties of mathematical systems can be unified and simplified by a presentation with diagrams of arrows. Each arrow f: X → Y represents a function; that is, a set X, a set Y, and a rule x ↦ f x which assigns to each element x ∈ X an element f x ∈ Y; whenever possible we write fx and not f(x), omitting unnecessary parentheses.
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© 1971 Springer-Verlag New York Inc.
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Lane, S.M. (1971). Introduction. In: Categories for the Working Mathematician. Graduate Texts in Mathematics, vol 5. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9839-7_1
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DOI: https://doi.org/10.1007/978-1-4612-9839-7_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90036-0
Online ISBN: 978-1-4612-9839-7
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