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
Bibliographic information
| Title | C- and C* -quotients in pointfree topology Volume 412 of Dissertationes mathematicae Volume 412 of Rozprawy matematyczne |
| Authors | Richard N. Ball, Joanne Walters-Wayland |
| Publisher | Polska Akademia Nauk, Instytut Matematyczny, 2002 |
| Length | 62 pages |
| Subjects | › Frames (Combinatorial analysis) Mathematics / Topology Topological algebras Topology Vector lattices, Archimedean |
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