A compact Fréchet space whose square is not Fréchet

Petr Simon

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 4, page 749-753
  • ISSN: 0010-2628

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Simon, Petr. "A compact Fréchet space whose square is not Fréchet." Commentationes Mathematicae Universitatis Carolinae 021.4 (1980): 749-753. <http://eudml.org/doc/17076>.

@article{Simon1980,
author = {Simon, Petr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {product of two compact Hausdorff Frechet spaces; maximal, almost disjoint collection of subsets; ZFC},
language = {eng},
number = {4},
pages = {749-753},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A compact Fréchet space whose square is not Fréchet},
url = {http://eudml.org/doc/17076},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Simon, Petr
TI - A compact Fréchet space whose square is not Fréchet
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 4
SP - 749
EP - 753
LA - eng
KW - product of two compact Hausdorff Frechet spaces; maximal, almost disjoint collection of subsets; ZFC
UR - http://eudml.org/doc/17076
ER -

References

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  1. T. K. BOEHME M. ROSENFELD, An example of two compact Fréchet Hausdorff spaces, whose product is not Fréchet, J. London Math. Soc. 8 (1974), 339-344. (1974) MR0343242
  2. J. DOČKÁLKOVÁ, Almost disjoint refinement of families of subsets of natural and real numbers, (in Czech), Rigorosní práce, ČKD Praha, závod Polovodiče, Praha 1980. (1980) 
  3. V. I. MALYCHIN, O sekvencial'nycn i Freše-Urysona bikompaktach, Vestnik Moskov. Univ. 5 (1976), 42-47. (1976) MR0487955
  4. E. MICHAEL, A quintuple quotient quest, Gen. Top. and Appl. 2 (1972), 91-138. (1972) Zbl0238.54009MR0309045
  5. A. R. D. MATHIAS, Happy families, Ann. Math. Logic 12 (1977) 59-111. (1977) Zbl0369.02041MR0491197
  6. R. C. OLSON, Bi-quotient maps, countable bi-sequential spaces and related topics, Gen. Top. and Appl. 4 (1974), 1-28. (1974) MR0365463

Citations in EuDML Documents

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  1. Chuan Liu, On weakly bisequential spaces
  2. János Gerlits, Zsigmond Nagy, Products of convergence properties
  3. Josef Novák, A note on products of Fréchet spaces
  4. Josef Novák, Double convergence and products of Fréchet spaces
  5. Camillo Costantini, On a problem of Nogura about the product of Fréchet-Urysohn α 4 -spaces
  6. Michael Hrušák, Paul J. Szeptycki, Artur Hideyuki Tomita, Selections on Ψ -spaces
  7. Oleg Okunev, Fréchet property in compact spaces is not preserved by M -equivalence
  8. Tsugunori Nogura, Products of sequential convergence properties
  9. Alexander Shibakov, Examples of sequential topological groups under the continuum hypothesis
  10. Petr Simon, Completely regular modification and products

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