Basic and Classic properties in the $\mathfrak{B}_F$-spaces

Authors

  • Adalberto Garcia Maynez Universidad Nacional Autónoma de México
  • Margarita Gary Universidad del Atlántico.
  • Adolfo Pimienta Universidad Simón Bolívar

Keywords:

$k_R$-space, $\mathfrak{B}_F$-spaces, pseudocompact spaces.

Abstract

$\mathfrak{B}_F$-spaces determine a class between the class of pseudocompact  spaces and the class of $k_R$-pseudocompact spaces. We present an alternative proof of the theorem 3.5 enunciated in \cite{Fro} and describe their main properties.

Author Biographies

Adalberto Garcia Maynez, Universidad Nacional Autónoma de México

Instituto de Matematicas; Universidad Nacional Autonoma de M\'exico; Area de la Investigacion Cientifica
Circuito Exterior, Ciudad Universitaria Coyoacan, 04510. Mexico, D. F.

Margarita Gary, Universidad del Atlántico.

Facultad de Ciencias B\'asicas, Universidad del Atl\'antico, Barranquilla, Colombia

Adolfo Pimienta, Universidad Simón Bolívar

Facultad de Ciencias B\'asicas y Biom\'edicas, Universidad Sim\'on Bolivar, Barranquilla, Colombia

References

bibitem{Bla} J. Blasco, emph{Two problems on $k_R$-spaces}, Acta. Math. Acad. Sci. Hungar, textbf{32}, 27-30 (1978).

bibitem{Eng} R. Engelking, emph{General Topology}, Heldermann Verlag Berlin, 1989.

bibitem{Fro} Z.Frol'ik, emph{The topological product of two pseudocompact spaces}, Czech. Math. J., textbf{10}, 339-348 (1960).

bibitem{Hew} E. Hewitt, emph{Ring of real-valued continuou functions I}, Trans. Amer. Math. Soc., textbf{64}, 45-99 (1948).

bibitem{Kat} A. Kato, emph{A note on pseudocompact spaces and $k_R$-spaces}, Proc. Amer. Math. Soc., textbf{61}, 175-176 (1977).

bibitem{Kel} J. Kelley, emph{General Topology}, Van Nost. (Princeton, 1955).

bibitem{Nob} N. Noble, emph{Countably compact and pseudocompact}, Czech. Math. J., textbf{19}, 390-397, (1969).

How to Cite

Garcia Maynez, A., Gary, M., & Pimienta, A. (2019). Basic and Classic properties in the $\mathfrak{B}_F$-spaces. Revista MATUA ISSN: 2389-7422, 6(1). Retrieved from https://revistasuniatlanticoeduco.biteca.online/index.php/MATUA/article/view/2277

Downloads

Download data is not yet available.

Published

2019-06-30