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EnglishWe introduce the concept of quasi upper semicontinuity of a not necessarily total preorder on a topological space and we prove that there exists a maximal element for a preorder on a compact topological space provided that it is quasi upper semicontinuous. In this way, we generalize many classical and well known results in the literature. We compare the concept of quasi upper semicontinuity with the other semicontinuity concepts to arrive at the conclusion that our definition can be viewed as the most appropriate and natural when dealing with maximal elements of preorders on compact spaces.
| Titolo: | Maximal elements of quasi upper semicontinuous preorders on compact spaces | |
| Autori: | ||
| Data di pubblicazione: | 2017 | |
| Data ahead of print: | 6-set-2016 | |
| Stato di pubblicazione: | Pubblicato | |
| Rivista: | ||
| Abstract: | We introduce the concept of quasi upper semicontinuity of a not necessarily total preorder on a topological space and we prove that there exists a maximal element for a preorder on a compact topological space provided that it is quasi upper semicontinuous. In this way, we generalize many classical and well known results in the literature. We compare the concept of quasi upper semicontinuity with the other semicontinuity concepts to arrive at the conclusion that our definition can be viewed as the most appropriate and natural when dealing with maximal elements of preorders on compact spaces. | |
| Handle: | http://hdl.handle.net/11368/2897940 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s40505-016-0106-z | |
| URL: | https://link.springer.com/article/10.1007%2Fs40505-016-0106-z | |
| Appare nelle tipologie: | 1.1 Articolo in Rivista |
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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| Bosi_Maximal elements of quasi upper semicontinuous.pdf | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia | |
| Maximal elements of quasi upper semicontinuous_postprint.pdf | postprint | Bozza finale post-referaggio (post-print) | Digital Rights Management non definito | Open Access Visualizza/Apri |
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