On density and π-weight of Lp(βN;R;μ)

In Integration Theory, it is important to establish the separability or notof Lebesgue spaces of the type Lp, with 1 ≤ p < +∞. In general, the usualproof of this type of results for certain Lebesgue spaces, is conducted throughmethods of Real Analysis.In this work, we use some concepts and methods of pure General Topologyin proving the non-separability of a particular Lebesgue space. Further, weprovide some estimates for density and π-weight of such a space.