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http://hdl.handle.net/10077/8293| Title: | From probability to sequences and back | Authors: | Frič, Roman | Keywords: | Convergence of sequences; sequentially continuous map; field of sets; extension of probability measures; convergence group; free group; completion; categorical approach to probability; bold algebra; MV-algebra; D-poset of fuzzy sets; state; extension of states; epireflection | Issue Date: | 2012 | Publisher: | EUT Edizioni Università di Trieste | Source: | Roman Frič, "From probability to sequences and back", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 285–296. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 44 (2012) |
Abstract: | This is a survey covering sequential structures and their applications to the foundations of probability theory. Sequential convergence, convergence groups and the extension of sequentially continuous maps belong to general topology and Trieste for long has been a center of sequential topology. We begin with some personal reflections, con- tinue with topological problems motivated by the extension of probability measures, and close with some recent results related to the categorical foundations of probability theory. |
Type: | Article | URI: | http://hdl.handle.net/10077/8293 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Fric_RIMUT44.pdf | 221.16 kB | Adobe PDF |  View/Open |
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