Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Heteromorphic Approach to Adjunctions: Theory and History

Version 1 : Received: 22 November 2023 / Approved: 23 November 2023 / Online: 23 November 2023 (05:38:51 CET)

A peer-reviewed article of this Preprint also exists.

Ellerman, D. The Heteromorphic Approach to Adjunctions: Theory and History. Mathematics 2024, 12, 311. Ellerman, D. The Heteromorphic Approach to Adjunctions: Theory and History. Mathematics 2024, 12, 311.

Abstract

Mallios and Zafiris emphasize that adjoint functors or adjunctions are not only "ubiquitous" in category theory but characterize the naturality of their approach to physical geometry. Hence in this paper, the history and theory of adjoint functors is investigated. Where do adjoint functors come from mathematically and how did the concepts develop historically?

Keywords

adjoint functors; adjunctions; heteromorphisms; category theory

Subject

Computer Science and Mathematics, Mathematics

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