Products of LF-topologies and separation in LF-top

  • Carlos Orlando Ochoa C. Universidad Distrital Francisco José de Caldas.
  • Joaquín Luna Torres Universidad de Cartagena.
Palabras clave: Topological spaces, Uniform Spaces, GL-monoids, LF-topological spaces, Cartesian product, Kolmogoroff Space, Hausdorff Space.

Resumen

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.

Biografía del autor

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.

Citas

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Cómo citar
Ochoa C., C., & Luna Torres, J. (1). Products of LF-topologies and separation in LF-top. Proyecciones. Revista De Matemática, 28(2), 181-201. https://doi.org/10.4067/S0716-09172009000200007
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