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The lattice of
pretopologies on an arbitrary set S
Allan Matlock Weber Carstens |
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Vol. 29 (1969), No. 1, 67–71
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Abstract |
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The structure of the lattice of pretopologies on the set S, unlike that of the lattice of topologies on S (a proper sublattice of the former), has not been closely examined. We establish that pretopologies may be identified with products of certain filters in a natural way. From this identification, we are able to determine much of the structure of this lattice. |
Mathematical Subject Classification
Primary: 54.10
Secondary: 06.00
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Milestones
Received: 31 March 1968
Revised: 17 June 1968
Published: 1 April 1969
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Authors |
| Allan Matlock Weber Carstens | |
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