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Monotone Convergence in Complete Metric Spaces

Mud, Ruben (2019) Monotone Convergence in Complete Metric Spaces. Bachelor's Thesis, Mathematics.

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Abstract

In this thesis, we prove a monotone convergence theorem for complete metric spaces. Afterwards we show how coincidence of betweenness relations can be used to interpret the monotone convergence theorem in complete metric spaces with some additional structure. We conclude with various examples.

Item Type: Thesis (Bachelor's Thesis)
Supervisor name: Sterk, A.E. and Rodrigues Valesin, D.
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 10 Jul 2019
Last Modified: 11 Jul 2019 14:02
URI: https://fse.studenttheses.ub.rug.nl/id/eprint/20072

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