On density and π-weight of Lp(βN,R, μ)

Giuseppe Iurato

Abstract

The new topological concept of selective separability is able to give some estimates for density and π-weight of the Lebesgue space Lp(βN,R, μ) with 1 ≤ p < +∞. In particular, we deduce a purely topological proof of the non-separability of such a space.

Keywords

Separability; Selective separability; Lebesgue space

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References

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Universitat Politècnica de València

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