Work

Structures in Concrete Categories

Year: 2015

Type: preprint

Abstract: The monumental treatise "Éléments de mathématique" of N. Bourbaki is based on the notion of structure and on the theory of sets. On the other hand, the theory of categories is based on the notions of morphism and functor. An appropriate definition of a structure in a concrete category is given in this paper. This definition makes it possible to bridge the gap between Bourbaki's structural approach and the categorical language.

Source: HAL (Le Centre pour la Communication Scientifique Directe)

DOI: 10.48550/arxiv.1509.08737

Author: Bourlès, Henri

Institution: Laboratoire des systèmes et applications des technologies de l'information et de l'énergie

Language: English

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2290147858

Cites: 1

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Related to: 10