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A Study of Lebesgue Integration via Category Theory

Ramesh, Tejaskumar (2022) A Study of Lebesgue Integration via Category Theory. Bachelor's Thesis, Mathematics.

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Abstract

This thesis aims to understand the Lebesgue integration operator using category theory. Particularly, it looks at whether this operator is uniquely characterized. We also discuss the traditional non-categorical way to do this and then give the similarities it has with the categorical approach. Finally, the thesis serves as a pedagogical exercise for the author to learn some basic notions of category theory such as universal properties, initial objects and unique characterization.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Sterk, A.E. and Besselink, B.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 08 Jul 2022 13:49
Last Modified: 08 Jul 2022 13:49
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/27687

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