Every weakly initially m-compact topological space is mpcap

TL;DR

This paper proves that weakly initially m-compact topological spaces are also mpcap, solving a problem posed by T. Retta, and extends the result to a variation involving [μ,κ]-compactness.

Contribution

It establishes a new equivalence between weakly initially m-compact and mpcap spaces and generalizes the result to [μ,κ]-compactness.

Findings

Weakly initially m-compact spaces are mpcap.

The result solves a problem posed by T. Retta.

Extension to [μ,κ]-compactness.

Abstract

The statement in the title solves a problem raised by T. Retta. We also present a variation of the result in terms of $[ \mu ,\kappa ]$-compactness.