Geodesic
Every weakly initially ${\mathfrak m}$-compact topological space is ${\mathfrak m}$pcap
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 781-784.

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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.
DOI : 10.1007/s10587-011-0026-x
Classification : 03E75, 54D20
Keywords: weak initial compactness; ${\mathfrak m}$pcap; $[\mu, \kappa ]$-compactness; pseudo-$(\kappa, \lambda )$-compactness; covering number 
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Lipparini, Paolo. Every weakly initially ${\mathfrak m}$-compact topological space is ${\mathfrak m}$pcap. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 781-784. doi : 10.1007/s10587-011-0026-x. http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0026-x/

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