Realcompactness and certain types of subframes

• Autores: Themba Dube
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 58, Nº. 2, 2008, págs. 181-202
• Idioma: inglés
• DOI: 10.1007/s00012-008-2058-0
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• Resumen

  • 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.