WHEN IS A po-COHERENT RING?

ABSTRACT

Let X be a completely regular Hausdorff topological space. It is shown that the ring of real valued continuous functions is po-coherent (in the sense of F. Wehrung) if and only if X is basically disconnected.

Acknowledgment

The author wishes to thank his Ph.D. adviser Professor Boris Lavricˇ for presenting this problem, all the encouragement and careful reading of the text.