Categorical Reconstruction Theory

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Tony Zorman
DOI: 10.48550/arxiv.2602.19860
Cited by: 0

Abstract

We generalise classical reconstruction results in algebra, using the language of monads, monoidal categories, module categories, as well as various notions of duality, such as closedness, Grothendieck--Verdier duality (also known as *-autonomy), and rigidity.

Fields of Study & Subjects

Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology Rings Modules and Algebras

Publication details

Journal / source
arXiv (Cornell University)
Publication date
23 February 2026
Language
EN
Document type
Preprint