## C- and C* -quotients in pointfree topology |

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### Contents

Introduction | 5 |

Calculating in CL | 13 |

Completeness properties of CL | 20 |

Copyright | |

4 other sections not shown

### Common terms and phrases

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