Extensions of dualities and a new approach to the Fedorchuk duality
| Autor: | Elza Ivanova-Dimova, Walter Tholen, Georgi Dimov |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
54E05 18A40 54H10 06E15 03G05 54D30 54D10 010102 general mathematics General Topology (math.GN) Hausdorff space Duality (optimization) Mathematics::General Topology Mathematics - Category Theory Extension (predicate logic) 01 natural sciences 010101 applied mathematics Mathematics::Category Theory FOS: Mathematics Category Theory (math.CT) Homomorphism Geometry and Topology 0101 mathematics Relation (history of concept) Categorical variable Mathematics Mathematics - General Topology |
| Popis: | Applying a general categorical construction for the extension of dualities, we present a new proof of the Fedorchuk duality between the category of compact Hausdorff spaces with their quasi-open mappings and the category of complete normal contact algebras with suprema-preserving Boolean homomorphisms which reflect the contact relation. 35 pages |
| Databáze: | OpenAIRE |
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