Resumen de Realcompactness and certain types of subframes

Themba Dube

• If a frame satisfies a property which is some variant of realcompactness, then certain types of its subframes inherit the property. Conversely, there are instances where a frame has a subframe satisfying some such property only if the frame itself satisfies the property. We analyze these phenomena for the case of realcompactness, almost realcompactness, a-realcompactness, c-realcompactness and weak realcompactness vis-a-vis perfect subframes and flat subframes.