Products of LF-topologies and separation in LF-top

Authors

  • Carlos Orlando Ochoa C. Universidad Distrital Francisco José de Caldas.
  • Joaquín Luna Torres Universidad de Cartagena.

DOI:

https://doi.org/10.4067/S0716-09172009000200007

Keywords:

Topological spaces, Uniform Spaces, GL-monoids, LF-topological spaces, Cartesian product, Kolmogoroff Space, Hausdorff Space.

Abstract

For a GL-monoid L provided with an uniform structure, we build an LF-topology on the cartesian product of a family of LF-topological spaces. We also show that the product of an arbitrary family of Kolmogoroff (Hausdorff) LF-topological spaces is again a Kolmogoroff (Hausdorff) LF-topological space.

Author Biographies

Carlos Orlando Ochoa C., Universidad Distrital Francisco José de Caldas.

Proyecto Curricular de Matemáticas, Facultad de Ciencias y Educación.

Joaquín Luna Torres, Universidad de Cartagena.

Departamento de Matemáticas.

References

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How to Cite

[1]
C. O. Ochoa C. and J. Luna Torres, “Products of LF-topologies and separation in LF-top”, Proyecciones (Antofagasta, On line), vol. 28, no. 2, pp. 181-201, 1.

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