1. Every weakly initially ${\mathfrak m}$-compact topological space is ${\mathfrak m}$pcap. Creator: Lipparini, Paolo Format: bez média and svazek Type: model:article and TEXT Subject: weak initial compactness, ${\mathfrak m}$pcap, $[\mu ,\kappa ]$-compactness, pseudo-$(\kappa ,\lambda )$-compactness, and covering number Language: English Description: 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 Rights: http://creativecommons.org/publicdomain/mark/1.0/ and policy:public