Filter convergence via sequential convergence

Ronald Beattie; Heinz-Peter Butzmann; Horst Herrlich

Commentationes Mathematicae Universitatis Carolinae (1986)

  • Volume: 027, Issue: 1, page 69-81
  • ISSN: 0010-2628

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Beattie, Ronald, Butzmann, Heinz-Peter, and Herrlich, Horst. "Filter convergence via sequential convergence." Commentationes Mathematicae Universitatis Carolinae 027.1 (1986): 69-81. <http://eudml.org/doc/17439>.

@article{Beattie1986,
author = {Beattie, Ronald, Butzmann, Heinz-Peter, Herrlich, Horst},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {topological functor; sequential convergence spaces; left adjoint; category of all first countable filter convergence spaces; right adjoint},
language = {eng},
number = {1},
pages = {69-81},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Filter convergence via sequential convergence},
url = {http://eudml.org/doc/17439},
volume = {027},
year = {1986},
}

TY - JOUR
AU - Beattie, Ronald
AU - Butzmann, Heinz-Peter
AU - Herrlich, Horst
TI - Filter convergence via sequential convergence
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1986
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 027
IS - 1
SP - 69
EP - 81
LA - eng
KW - topological functor; sequential convergence spaces; left adjoint; category of all first countable filter convergence spaces; right adjoint
UR - http://eudml.org/doc/17439
ER -

References

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  1. E. BINZ, Continuous convergence on C(X), Lecture Notes in Mathematics 469, Springer Verlag, Berlin - Heidelberg - New York, 1975. (1975) Zbl0306.54003MR0461418
  2. H.-P. BUTZMANN R. BEATTIE, Some relations between sequential and filter convergence, to appear in: Proceedings of the conference on convergence, Bechyně, ČSSR 1984. (1984) MR0835472
  3. R. FRIČ, On convergence spaces and groups, Math. Slovaca 27 (1977), 323-330. (1977) MR0536835
  4. R. FRIČ D. C. KENT, On c-embedded sequential convergence spaces, in: Convergence structures and applications to analysis, Abh. Akad. Wiss. DDR, Abt. Math. - Naturwiss. - Technik Nr. 4N (1979), 33-36. (1979) MR0613999
  5. R. FRIČ V. KOUTNÍK, Sequential structures, in: Convergence structures and applications to analysis, Abh. Akad. Wiss, DDR, Abt. Math. - Naturwiss. - Technik Nr. 4N (1979), 37-56. (1979) MR0614000
  6. R. FRIČ V. KOUTNÍK, Recent development in sequential convergence, to appear in: Proc. Intern. School on Convergence Structures and Appl. II, Schwerin 1983 (Abh. Akad. Wiss. DDR), in print. (1983) MR0790150
  7. W. GÄHLER, Grundstrukturen der Analysis Band I, II, Berlin - Basel 1977 and 1978. (1977) MR0459969
  8. H. HERRLICH, Categorical Topology 1971-1981, in: General Topology and its Relations to Modern Analysis and Algebra V, Proc. Fifth Prague Topological Sympos. 1983, Heldermann Verlag Berlin 1982, 279-383. (1983) Zbl0502.54001MR0698425
  9. H. HERRLICH, Universal Topology, in: Categorical Topology, Proc. Conf. Toledo, Ohio, USA 1983, Heldermann Verlag Berlin 1984, 223-281. (1983) MR0785019
  10. H. HERRLICH M. HUŠEK, Galois connections, Preprint. MR0874379
  11. H. HERRLICH G. STRECKER, Category Theory, 2nd ed., Heldermann Verlag Berlin 1979. (1979) MR0571016
  12. H. POPPE, Compactness in general function spaces, VEB Deutscher Verlag der Wiss. Berlin 1974. (1974) Zbl0291.54012MR0438281

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