A categorical approach to the maximum theorem

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2018-08-01

Author

Koudenburg, Seerp Roald

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Berge's maximum theorem gives conditions ensuring the continuity of an optimised function as a parameter changes. In this paper we state and prove the maximum theorem in terms of the theory of monoidal topology and the theory of double categories.

Subject Keywords

Kan extensions

URI

https://hdl.handle.net/11511/64322

Journal

JOURNAL OF PURE AND APPLIED ALGEBRA

DOI

https://doi.org/10.1016/j.jpaa.2017.09.002

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

S. R. Koudenburg, “A categorical approach to the maximum theorem,” JOURNAL OF PURE AND APPLIED ALGEBRA, pp. 2099–2142, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/64322.