• Mathematics
  • Published 2003

Completeness properties of function rings in pointfree topology

@inproceedings{Banaschewski2003CompletenessPO,
  title={Completeness properties of function rings in pointfree topology},
  author={Bernhard Banaschewski and S. S. Hong},
  year={2003}
}
This note establishes that the familiar internal characterizations of the Tychonoff spaces whose rings of continuous real-valued functions are complete, or $\sigma$-comp\-lete, as lattice ordered rings already hold in the larger setting of pointfree topology. In addition, we prove the corresponding results for rings of integer-valued functions. 

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