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


  • Giuseppe Iurato University of Palermo




Separability, Selective separability, Lebesgue space


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.


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Author Biography

Giuseppe Iurato, University of Palermo

Department of Physics and Related Technologies, University of Palermo, Avenue of Science, Building 18, I-90128, Palermo, Italy


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How to Cite

G. Iurato, “On density and π-weight of Lp(βN,R, μ)”, Appl. Gen. Topol., vol. 13, no. 1, pp. 33–38, Apr. 2012.