Abstract

We study a property of frames which is akin to realcompactness and obtained by replacing the cozero part of a frame in the definition of realcompactness with its Booleanization. Unlike the case of realcompactness, which is defined only for completely regular frames, this new concept is defined for all frames. We also investigate a weaker variant of this notion, and note that in both cases the frame results extend their topological precursors.

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