@article{Raphael_Woods_2006, title={On RG-spaces and the regularity degree}, volume={7}, url={https://polipapers.upv.es/index.php/AGT/article/view/1934}, DOI={10.4995/agt.2006.1934}, abstractNote={<p>We continue the study of a lattice-ordered ring G(X), associated with the ring C(X). Following, X is called RG when G(X) = C(X<sub>δ</sub>). An RG-space must have a dense set of very weak P-points. It must have a dense set of almost-P-points if X<sub>δ</sub> is Lindelöf, or if the continuum hypothesis holds and C(X) has small cardinality. Spaces which are RG must have finite Krull dimension when taken with respect to the prime z-ideals of C(X). There is a notion of regularity degree defined via the functions in G(X). Pseudocompact spaces and metric spaces of finite regularity degree are characterized.</p>}, number={1}, journal={Applied General Topology}, author={Raphael, R. and Woods, R.G.}, year={2006}, month={Apr.}, pages={73–101} }