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 | 2016-03-01T13:37:15Z | |
| dc.date.available | 2016-03-01T13:37:15Z | |
| dc.date.issued | 2016 | eng |
| dc.description.abstract | The concepts of a conditional set, a conditional inclusion relation and a conditional Cartesian product are introduced. The resulting conditional set theory is sufficiently rich in order to construct a conditional topology, a conditional real and functional analysis indicating the possibility of a mathematical discourse based on conditional sets. It is proved that the conditional power set is a complete Boolean algebra, and a conditional version of the axiom of choice, the ultrafilter lemma, Tychonoff's theorem, the Borel–Lebesgue theorem, the Hahn–Banach theorem, the Banach–Alaoglu theorem and the Krein–Šmulian theorem are shown. | eng |
| dc.description.version | published | eng |
| dc.identifier.arxiv | 1309.6903v2 | eng |
| dc.identifier.doi | 10.1016/j.jmaa.2015.11.057 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/29893 | |
| dc.language.iso | eng | eng |
| dc.subject | Conditional sets; Conditional topology; Conditional compactness; Conditional functional analysis | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | The algebra of conditional sets and the concepts of conditional topology and compactness | eng |
| dc.type | JOURNAL_ARTICLE | eng |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Drapeau2016algeb-29893,
year={2016},
doi={10.1016/j.jmaa.2015.11.057},
title={The algebra of conditional sets and the concepts of conditional topology and compactness},
number={1},
volume={437},
issn={0002-5232},
journal={Journal of Mathematical Analysis and Applications},
pages={561--589},
author={Drapeau, Samuel and Jamneshan, Asgar and Karliczek, Martin and Kupper, Michael}
} | |
| kops.citation.iso690 | DRAPEAU, Samuel, Asgar JAMNESHAN, Martin KARLICZEK, Michael KUPPER, 2016. The algebra of conditional sets and the concepts of conditional topology and compactness. In: Journal of Mathematical Analysis and Applications. 2016, 437(1), pp. 561-589. ISSN 0002-5232. eISSN 1573-8302. Available under: doi: 10.1016/j.jmaa.2015.11.057 | deu |
| kops.citation.iso690 | DRAPEAU, Samuel, Asgar JAMNESHAN, Martin KARLICZEK, Michael KUPPER, 2016. The algebra of conditional sets and the concepts of conditional topology and compactness. In: Journal of Mathematical Analysis and Applications. 2016, 437(1), pp. 561-589. ISSN 0002-5232. eISSN 1573-8302. Available under: doi: 10.1016/j.jmaa.2015.11.057 | eng |
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| kops.sourcefield | Journal of Mathematical Analysis and Applications. 2016, <b>437</b>(1), pp. 561-589. ISSN 0002-5232. eISSN 1573-8302. Available under: doi: 10.1016/j.jmaa.2015.11.057 | deu |
| kops.sourcefield.plain | Journal of Mathematical Analysis and Applications. 2016, 437(1), pp. 561-589. ISSN 0002-5232. eISSN 1573-8302. Available under: doi: 10.1016/j.jmaa.2015.11.057 | deu |
| kops.sourcefield.plain | Journal of Mathematical Analysis and Applications. 2016, 437(1), pp. 561-589. ISSN 0002-5232. eISSN 1573-8302. Available under: doi: 10.1016/j.jmaa.2015.11.057 | eng |
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| temp.internal.duplicates | <p>Keine Dubletten gefunden. Letzte Überprüfung: 13.02.2015 10:27:10</p> | deu |