Tychonoff products of super second countable and super separable metric spaces

Horst Herrlich; Kyriakos Keremedis; Eleftherios Tachtsis

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2008)

  • Volume: 49, Issue: 4, page 267-279
  • ISSN: 1245-530X

How to cite

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Herrlich, Horst, Keremedis, Kyriakos, and Tachtsis, Eleftherios. "Tychonoff products of super second countable and super separable metric spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 49.4 (2008): 267-279. <http://eudml.org/doc/91740>.

@article{Herrlich2008,
author = {Herrlich, Horst, Keremedis, Kyriakos, Tachtsis, Eleftherios},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {countable AC; super second countable; super separable; Baire space},
language = {eng},
number = {4},
pages = {267-279},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Tychonoff products of super second countable and super separable metric spaces},
url = {http://eudml.org/doc/91740},
volume = {49},
year = {2008},
}

TY - JOUR
AU - Herrlich, Horst
AU - Keremedis, Kyriakos
AU - Tachtsis, Eleftherios
TI - Tychonoff products of super second countable and super separable metric spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2008
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 49
IS - 4
SP - 267
EP - 279
LA - eng
KW - countable AC; super second countable; super separable; Baire space
UR - http://eudml.org/doc/91740
ER -

References

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  1. [1] G. Gutierres, On first and second countable spaces and the axiom of choice, Topolog Appl. 143 (2004), 93-103. Zbl1065.54015MR2080285
  2. [2] H. Herrlich, K. Keremedis, and E. Tachtsis, On Super Second Countable and Super Separable Metric Spaces, accepted in Topology Proceedings. Zbl1169.03039
  3. [3] P. Howard, K. Keremedis, J.E. Rubin, A. Stanley, and E. Tachtsis, Non-constructive properties of the real numbers, Math. Logic Quart. 47 (2001), 423-431. Zbl0986.03037MR1847458
  4. [4] P. Howard and J.E. Rubin, Consequences of the Axiom of Choice, Amer. Math. Soc. Math. Surveys and Monographs 59 (1998). Zbl0947.03001MR1637107
  5. [5] T. Jech, Set Theory, Academic Press, New-York, 1978. Zbl0419.03028MR506523
  6. [6] K. Keremedis, Countable Disjoint Unions in Topology and Some Weak Forms of the Axiom of Choice, submitted. 

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