On plane topologies with high sequential order

Roman Frič

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 1, page 33-36
  • ISSN: 0010-2628

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Frič, Roman. "On plane topologies with high sequential order." Commentationes Mathematicae Universitatis Carolinae 031.1 (1990): 33-36. <http://eudml.org/doc/17805>.

@article{Frič1990,
author = {Frič, Roman},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {sequential topology; cross topology; radiolar topology; sequential order; radiolar-like topologies in n-dimensional Euclidean spaces},
language = {eng},
number = {1},
pages = {33-36},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On plane topologies with high sequential order},
url = {http://eudml.org/doc/17805},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Frič, Roman
TI - On plane topologies with high sequential order
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 1
SP - 33
EP - 36
LA - eng
KW - sequential topology; cross topology; radiolar topology; sequential order; radiolar-like topologies in n-dimensional Euclidean spaces
UR - http://eudml.org/doc/17805
ER -

References

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  2. Dolcher M., Sulla convergenza puntualle delle funzioni, Atti Accad. Naz. Lincei. Rend. CI. Sci. Fis. Mat. Natur. 8 (43) (1962), 300-304. (1962) MR0239553
  3. Flaschmeyer J., On sequential topologies, Convergence Structures and Applications to Analysis, Abh. Akad. Wiss. DDR, Abt. Math.-Naturwiss.-Technik, 1979, Nr. 4N, Akademie-Verlag, Berlin (1980), 25-32. (1979) MR0613998
  4. Fric R., Gerlits J., On the sequential order, to appear. Zbl0776.54004MR1195044
  5. Greco G. H., The sequential defect of the cross topology, Topology Appl. 19 (1985), 91-94. (1985) Zbl0569.54028MR0786084
  6. Kannan V., Ordinal invariants in topology, Memoirs Amer. Math. Soc. Vol. 32 (1981). No 245, Providence RI. (1981) Zbl0473.54001MR0617500
  7. Köthe G., Topologische lineare Räume, Springer-Verlag, Berlin, (1960). (1960) MR0130551
  8. Novák J., On convergence spaces and their sequential envelopes, Czechoslovak Math. J. 15 (1965), 74-100. (1965) MR0175083
  9. Nyikos P., Metrizability and the Fréchet-Urysohn property in topological groups, Proc. Amer. Math. Soc. 83 (1981), 793-801. (1981) Zbl0474.22001MR0630057
  10. Richardson G. D., Kent D. C., A note on C c ( X ) , Proc. Amer. Math. Soc. 49 (1975), 441-445. (1975) MR0370483
  11. Schmidt H.-J., Locally non-Euclidean topologies in space-time, Convergence Structures and Applications to Analysis, II (Proc. Schwerin Conference), Abh. Akad. Wiss. DDR, Abt. Math.-Natur.-Techiiik, 1984, Nr. 2N, Akademie-Verlag, Berlin, (1984), 207-212. (1984) Zbl0559.57015MR0790178

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