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The Algebra of Conditional Sets and the Concepts of Conditional Topology and Compactness
| dc.contributor.author | Drapeau, Samuel | |
| dc.contributor.author | Jamneshan, Asgar | |
| dc.contributor.author | Karliczek, Martin | |
| dc.contributor.author | Kupper, Michael | |
| dc.date.accessioned | 2015-02-19T13:55:56Z | |
| dc.date.available | 2015-02-19T13:55:56Z | |
| dc.date.issued | 2014 | eng |
| dc.description.abstract | We introduce the notions of conditional set and conditional inclusion. It is shown that the resulting conditional power set is a complete Boolean algebra which allows to develop a set theory, topology and analysis on conditional sets. Among others a conditional version of the following theorems are proved: Ultrafilter lemma, Tychonoff, Heine-Borel, Hahn-Banach and Banach-Alaoglu. | eng |
| dc.identifier.arxiv | 1309.6903v2 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/29893.1 | |
| dc.language.iso | eng | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | The Algebra of Conditional Sets and the Concepts of Conditional Topology and Compactness | eng |
| dc.type | PREPRINT | eng |
| dspace.entity.type | Publication | |
| kops.flag.knbibliography | true | |
| temp.internal.duplicates | <p>Keine Dubletten gefunden. Letzte Überprüfung: 13.02.2015 10:27:10</p> | deu |
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