Products of LF-topologies and separation in LF-top

Carlos Orlando Ochoa C., Joaquín Luna Torres

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.

Palabras clave


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

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172009000200007

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