On multisequences and their application to products of sequential spaces

Saliou Sitou

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 3, page 235-241
  • ISSN: 0232-0525

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Sitou, Saliou. "On multisequences and their application to products of sequential spaces." Mathematica Slovaca 49.3 (1999): 235-241. <http://eudml.org/doc/32163>.

@article{Sitou1999,
author = {Sitou, Saliou},
journal = {Mathematica Slovaca},
keywords = {sequential topology; sequential order; multisequence product of sequential spaces},
language = {eng},
number = {3},
pages = {235-241},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On multisequences and their application to products of sequential spaces},
url = {http://eudml.org/doc/32163},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Sitou, Saliou
TI - On multisequences and their application to products of sequential spaces
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 3
SP - 235
EP - 241
LA - eng
KW - sequential topology; sequential order; multisequence product of sequential spaces
UR - http://eudml.org/doc/32163
ER -

References

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  1. ARHANGEL'SKII A. V., The frequency spectrum of a topological space and the classification of spaces, Sov. Math. Dokl. 13 (1972), 1185-1189 [Transl. from: Dokl. Akad. Nauk SSSR 206 (1972), 265-268]. (1972) MR0394575
  2. ARHANGEL'SKII A. V., The frequency spectrum of a topological space and the product operation, Trans. Moscow Math. Soc. 40 (1981), 164-200. (1981) 
  3. DOLECKI S.-SITOU S., Precise bounds for sequential order of product of some Fréchet topologies, Topology Appl. 20 (1997), 1-15. (1997) 
  4. DOLECKI S.-SITOU S., Ordre squentiel du produit de certaines topologies de Frechet, C. R. Acad. Sci. Paris Sér. I Math. 322 (1996), 465-470. (1996) MR1381785
  5. FREMLIN D. H., Sequential convergence in C p ( X ) , Comment. Math. Univ. Carolin. 35 (1994), 371-382. (1994) MR1286585
  6. FRIČ R.-VOJTAS P., Diagonal conditions in sequential convergence, In: Convergence structures 1984 (Proc. Conf. on Convergence, Bechyne, 1984). Mathematical Research/Mathematische Forschung, Bd. 24, Akademie-Verlag, Berlin, 1995, pp. 77-94. (1984) MR0835474
  7. KRATOCHVÍL P., Multisequences and measure, In: General Topology and its Relations to Modern Analysis and Algebra IV. (Proc. Fourth Prague Topological Sympos., Prague 1976), Part B, Soc. Czech. Mathematicians and Physicists, Prague, 1997, pp. 237-244. (1976) MR0460576
  8. KRATOCHVÍL P., Multisequences and their structure in sequential spaces, In: Convergence structures 1984 (Proc. Conf. on Convergence, Bechyne, 1984). Mathematical Research/Mathematische Forschung Bd. 24, Akademie-Verlag, Berlin, 1995, pp. 205-216. (1984) MR0835487
  9. MICHAEL E., A note on closed maps and compact sets, Israel J. Math. 2 (1996), 173-176. (1996) MR0177396
  10. MICHAEL E., Local compactness and cartesian products of quotient maps and k-spaces, Ann. Inst. Fourier (Grenoble) 18 (1968), 281-286. (1968) Zbl0175.19703MR0244943
  11. NOGURA T.-SHIBAKOV A., Sequential order of product of Fréchet spaces, Topology Appl. 70 (1996), 245-253. (1996) Zbl0854.54024MR1397080
  12. SITOU S., Ordre séquentiel du produit de deux topologies de Fréchet, Ph.D Thesis, 1995. (1995) 
  13. TANAKA Y., Products of sequential spaces, Proc. Amer. Math. Soc. 54 (1976), 371-375. (1976) Zbl0292.54025MR0397665

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