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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)
  6. From probability to sequences and back
 
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From probability to sequences and back

Frič, Roman
2012
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ISSN
0049-4704
http://hdl.handle.net/10077/8293
  • Article

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.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
44 (2012)
Subjects
  • Convergence of sequen...

  • sequentially continuo...

  • field of sets

  • extension of probabil...

  • convergence group

  • free group

  • completion

  • categorical approach ...

  • bold algebra

  • MV-algebra

  • D-poset of fuzzy sets...

  • state

  • extension of states

  • epireflection

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.
Languages
en
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