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Calculating in CL
Completeness properties of CL
4 other sections not shown
adjoint AfR-object Archimedean group archimedean rings assume bAfR basically disconnected binary cozero cover bounded C-quotient C*-embedded C*-quotient map Cauchy sequence claim closed quotient map closure compact compactification completely below relation completely regular frame consider continuous function convergence coreflection Corollary countable coz-codense coz-onto coz(l cozero elements cozg CozL CozM CRegFrm defined dense quotient map extremally disconnected F-frame fact finite cozero cover following are equivalent frame map frame surjection functor fundamental formula Hausdorff space implies inequality isomorphism least e units Lemma Lindelof linked cozero cover m n>m m-completely m(ai open quotient map principal cover Proof Proposition 3.1.1 prove regular cozero tower regular open set regular tower result ring term satisfies sequence gn space Stone-Cech compactification subset subspace Suppose supremum topological space topology uniform frame uniformly complete zero set