REPOZYTORIUM UNIWERSYTETU
W BIAŁYMSTOKU
UwB

Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/4894
Pełny rekord metadanych
Pole DCWartośćJęzyk
dc.contributor.authorCoghetto, Rolandpl
dc.date.accessioned2016-12-16T10:10:18Z-
dc.date.available2016-12-16T10:10:18Z-
dc.date.issued2015pl
dc.identifier.citationFormalized Mathematics, Volume 23, Issue 3, 189–203pl
dc.identifier.issn1426-2630pl
dc.identifier.issn1898-9934pl
dc.identifier.urihttp://hdl.handle.net/11320/4894-
dc.description.abstractAbstractWe are inspired by the work of Henri Cartan [16], Bourbaki [10] (TG. I Filtres) and Claude Wagschal [34]. We define the base of filter, image filter, convergent filter bases, limit filter and the filter base of tails (fr: filtre des sections).pl
dc.language.isoenpl
dc.publisherDe Gruyter Openpl
dc.subjectconvergencepl
dc.subjectfilterpl
dc.subjectfilter basepl
dc.subjectFrechet filterpl
dc.subjectlimitpl
dc.subjectnetpl
dc.subjectsequencepl
dc.titleConvergent Filter Basespl
dc.typeArticlepl
dc.identifier.doi10.1515/forma-2015-0016pl
dc.description.AffiliationRue de la Brasserie 5, 7100 La Louvière, Belgiumpl
dc.description.referencesGrzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.pl
dc.description.referencesGrzegorz Bancerek. König’s theorem. Formalized Mathematics, 1(3):589-593, 1990.pl
dc.description.referencesGrzegorz Bancerek. Complete lattices. Formalized Mathematics, 2(5):719-725, 1991.pl
dc.description.referencesGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.pl
dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.pl
dc.description.referencesGrzegorz Bancerek. Directed sets, nets, ideals, filters, and maps. Formalized Mathematics, 6(1):93-107, 1997.pl
dc.description.referencesGrzegorz Bancerek. Prime ideals and filters. Formalized Mathematics, 6(2):241-247, 1997.pl
dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.pl
dc.description.referencesGrzegorz Bancerek, Noboru Endou, and Yuji Sakai. On the characterizations of compactness. Formalized Mathematics, 9(4):733-738, 2001.pl
dc.description.referencesNicolas Bourbaki. General Topology: Chapters 1-4. Springer Science and Business Media, 2013.pl
dc.description.referencesCzesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990.pl
dc.description.referencesCzesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.pl
dc.description.referencesCzesław Bylinski. Basic functions and operations on functions. Formalized Mathematics, 1(1):245-254, 1990.pl
dc.description.referencesCzesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.pl
dc.description.referencesCzesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.pl
dc.description.referencesHenri Cartan. Théorie des filtres. C. R. Acad. Sci., CCV:595-598, 1937.pl
dc.description.referencesMarek Chmur. The lattice of natural numbers and the sublattice of it. The set of prime numbers. Formalized Mathematics, 2(4):453-459, 1991.pl
dc.description.referencesAgata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.pl
dc.description.referencesAdam Grabowski and Robert Milewski. Boolean posets, posets under inclusion and products of relational structures. Formalized Mathematics, 6(1):117-121, 1997.pl
dc.description.referencesGilbert Lee and Piotr Rudnicki. Dickson’s lemma. Formalized Mathematics, 10(1):29-37, 2002.pl
dc.description.referencesYatsuka Nakamura and Hisashi Ito. Basic properties and concept of selected subsequence of zero based finite sequences. Formalized Mathematics, 16(3):283-288, 2008. doi:10.2478/v10037-008-0034-y. [Crossref]pl
dc.description.referencesBeata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.pl
dc.description.referencesBeata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.pl
dc.description.referencesAlexander Yu. Shibakov and Andrzej Trybulec. The Cantor set. Formalized Mathematics, 5(2):233-236, 1996.pl
dc.description.referencesAndrzej Trybulec. Tuples, projections and Cartesian products. Formalized Mathematics, 1(1):97-105, 1990.pl
dc.description.referencesAndrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4): 341-347, 2003.pl
dc.description.referencesAndrzej Trybulec. Moore-Smith convergence. Formalized Mathematics, 6(2):213-225, 1997.pl
dc.description.referencesAndrzej Trybulec and Agata Darmochwał. Boolean domains. Formalized Mathematics, 1 (1):187-190, 1990.pl
dc.description.referencesMichał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.pl
dc.description.referencesWojciech A. Trybulec and Grzegorz Bancerek. Kuratowski - Zorn lemma. Formalized Mathematics, 1(2):387-393, 1990.pl
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.pl
dc.description.referencesTetsuya Tsunetou, Grzegorz Bancerek, and Yatsuka Nakamura. Zero-based finite sequences. Formalized Mathematics, 9(4):825-829, 2001.pl
dc.description.referencesJosef Urban. Basic facts about inaccessible and measurable cardinals. Formalized Mathematics, 9(2):323-329, 2001.pl
dc.description.referencesClaude Wagschal. Topologie et analyse fonctionnelle. Hermann, 1995.pl
dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73-83, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.pl
dc.description.referencesStanisław Zukowski. Introduction to lattice theory. Formalized Mathematics, 1(1):215-222, 1990.pl
Występuje w kolekcji(ach):Formalized Mathematics, 2015, Volume 23, Issue 3

Pliki w tej pozycji:
Plik Opis RozmiarFormat 
forma-2015-0016.pdf284,06 kBAdobe PDFOtwórz
Pokaż uproszczony widok rekordu Zobacz statystyki


Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL Creative Commons