General Theory of Natural Equivalences

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 1945 English Publisher:Springer New YorkJournal:Transactions of the American Mathematical Society, volume 58, page 231 (issn: 0002-9947,

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Authors: Eilenberg, Samuel; MacLane, Saunders;

doi: 10.1007/978-1-4615-7831-4_13 , 10.2307/1990284 , 10.1090/s0002-9947-1945-0013131-6

General Theory of Natural Equivalences

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Abstract

The idea of the naturality of many one-one transformations occurring in algebra and topology is made precise by interpreting these transformations as natural equivalences, i. e. as one-one mappings of functors defined on categories (collections of objects together with associated ``mappings'').

Related Organizations

University of Michigan–Flint
United States
Harvard University
United States

Keywords

Functor, Natural transformation, Category, Theory of naturality, Definitions and generalizations in theory of categories, Category theory

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