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Eilenberg and Mac Lane: general theory of natural equivalences

Introduced categories, functors and natural equivalences as a general language for expressing mappings, constructions and naturality across algebra and topology.

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Introduced categories, functors and natural equivalences as a general language for expressing mappings, constructions and naturality across algebra and topology.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is the exact 1945 Transactions of the AMS paper. Earlier uses of related diagrams, later category-theory foundations, enriched or higher categories and categorical logic remain separate.

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People and systems

Samuel Eilenberg; Saunders MacLane

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: United States

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English catalogue narrative

Eilenberg and Mac Lane: general theory of natural equivalences

Introduced categories, functors and natural equivalences as a general language for expressing mappings, constructions and naturality across algebra and topology.

Scientific scope

The record is the exact 1945 Transactions of the AMS paper. Earlier uses of related diagrams, later category-theory foundations, enriched or higher categories and categorical logic remain separate.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Samuel Eilenberg; Saunders MacLane

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources