A categorical approach to the maximum theorem

Creative Commons License

Koudenburg S. R.

JOURNAL OF PURE AND APPLIED ALGEBRA, cilt.222, sa.8, ss.2099-2142, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 222 Konu: 8
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.jpaa.2017.09.002
  • Dergi Adı: JOURNAL OF PURE AND APPLIED ALGEBRA
  • Sayfa Sayıları: ss.2099-2142

Özet

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.