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Decomposition of topologies on lattices and hyperspaces

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Costantini C., Vitolo P.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction.................................................................................5 1. Decomposable topologies.......................................................6 2. Locally convex topologies......................................................10 3. Semilattices. Strong decomposability.....................................13 4. Convex topologies.................................................................15 5. Topologies on linearly ordered sets.......................................18 6. Topologies on lattices............................................................20 7. The Scott topology.................................................................26 8. Uniqueness of decomposition................................................28 9. Hyperspace topologies..........................................................32 10. The Vietoris topology...........................................................35 11. The Hausdorff metric topology.............................................37 12. The proximal topology..........................................................39 13. The Kuratowski convergence..............................................40 14. Uniqueness of decomposition for hypertopologies..............44 References................................................................................47

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1 Costantini C.

1 Vitolo P.

1 1999

Wyniki wyszukiwania

Decomposition of topologies on lattices and hyperspaces