Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11385
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gutierres, Gonçalo | - |
dc.contributor.author | Hofmann, Dirk | - |
dc.date.accessioned | 2009-09-14T10:13:36Z | - |
dc.date.available | 2009-09-14T10:13:36Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Pré-Publicações DMUC. 05-17 (2005) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11385 | - |
dc.description.abstract | It is of general knowledge that those (ultra)filter convergence relations coming from a topology can be characterized by two natural axioms. However, the situation changes considerable when moving to sequential spaces. In case of unique limit points J. Kisynski [Kis60] obtained a result for sequential convergence similar to the one for ultrafilters, but the general case seems more difficult to deal with. Finally, the problem was solved by V. Koutnik [Kou85]. In this paper we present an alternative approach to this problem. Our goal is to find a characterization more related to the case of ultrafilter convergence. We extend then the result to characterize sequential convergence relations corresponding to Fréchet topologies, as well to those corresponding to pretopological spaces. | en_US |
dc.description.sponsorship | Centro de Matemática da Universidade de Coimbra/FCT; Unidade de Investigação e Desenvolvimento Matemática e Aplicações da Universidade de Aveiro/FCT | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Convergence | en_US |
dc.subject | Sequence | en_US |
dc.subject | Sequential space | en_US |
dc.subject | Monad | en_US |
dc.title | Axioms for sequential convergence | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.languageiso639-1 | en | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | Faculty of Sciences and Technology | - |
crisitem.author.parentdept | University of Coimbra | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0001-9480-498X | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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File | Description | Size | Format | |
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Axioms for sequential convergence.pdf | 190.97 kB | Adobe PDF | View/Open |
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