Convergent Filter Bases

Roland Coghetto

Formalized Mathematics (2015)

  • Volume: 23, Issue: 3, page 189-203
  • ISSN: 1426-2630

Abstract

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We 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).

How to cite

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Roland Coghetto. "Convergent Filter Bases." Formalized Mathematics 23.3 (2015): 189-203. <http://eudml.org/doc/276405>.

@article{RolandCoghetto2015,
abstract = {We 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).},
author = {Roland Coghetto},
journal = {Formalized Mathematics},
keywords = {convergence; filter; filter base; Frechet filter; limit; net; sequence; Fréchet filter},
language = {eng},
number = {3},
pages = {189-203},
title = {Convergent Filter Bases},
url = {http://eudml.org/doc/276405},
volume = {23},
year = {2015},
}

TY - JOUR
AU - Roland Coghetto
TI - Convergent Filter Bases
JO - Formalized Mathematics
PY - 2015
VL - 23
IS - 3
SP - 189
EP - 203
AB - We 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).
LA - eng
KW - convergence; filter; filter base; Frechet filter; limit; net; sequence; Fréchet filter
UR - http://eudml.org/doc/276405
ER -

References

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