Every weakly initially ${\mathfrak m}$-compact topological space is ${\mathfrak m}$pcap
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 781-784
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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
Keywords: weak initial compactness; ${\mathfrak m}$pcap; $[\mu, \kappa ]$-compactness; pseudo-$(\kappa, \lambda )$-compactness; covering number
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author = {Lipparini, Paolo},
title = {Every weakly initially ${\mathfrak m}$-compact topological space is ${\mathfrak m}$pcap},
journal = {Czechoslovak Mathematical Journal},
pages = {781--784},
publisher = {mathdoc},
volume = {61},
number = {3},
year = {2011},
doi = {10.1007/s10587-011-0026-x},
mrnumber = {2853091},
zbl = {1249.54053},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0026-x/}
}
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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
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