nLab
Yosida duality

Idea

An analogue of the Gelfand duality for Riesz spaces.

Statement

The category of compact Hausdorff topological spaces and continuous maps is contravariantly equivalent to the category of uniformly complete Archimedean unital Riesz spaces.

References

  • Bas Westerbaan?, Yosida Duality, arXiv:1612.03327.

  • Kôsaku Yosida?, On the representation of the vector lattice, Proceedings of the Imperial Academy, Tokyo 18 (1942), 339–342. ProjectEuclid.

Created on March 19, 2021 at 19:21:12. See the history of this page for a list of all contributions to it.