Treatise on Set Topology, Part 1 |
Contents
ALGEBRA OF SUBSETS OF A SET pp 111 | 1 |
RINGS AND FIELDS OF SETS pp 1234 | 12 |
ALGEBRA OF PARTIAL ORDER pp 3552 | 35 |
Copyright | |
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a-ideal belongs boolean algebra boundary set bourhood Cauchy sequence characteristic functional closed interval closed sets closure function compact complement complete lattice complete metrical space contact point continuous functional continuous map convergence scheme decreasing sequence defined definition denote dense dense-in-itself disjoint distance function distributive lattice element equivalent exist finite number follows function f Hausdorff bicompact space Hausdorff space Hence homeomorphic implies infinite integer intersection K₁ L-topology lattice sum lattice-product limit M₁ measure neighbourhood system non-dense set non-null normal null set open covering open domain open interval open neighbourhood open set open set G ordinal partially ordered positive number postulates principal ideals Prove R₁ real number space relatively closed subset resolution resolution-space S₁ satisfies set-algebra set-field shew spheres strongly separable symmetric difference T-space T₁ theorem topological product topological space total original totally bounded union weakest well-ordered