We define and study the notion of compactness in generalized topological spaces with respect to a hereditary class: $\mu\mathcal{H}$-compact spaces.
@article{27177,
title = {$\mu$-compactness with respect to a hereditary class},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {34},
year = {2015},
doi = {10.5269/bspm.v34i2.27177},
language = {EN},
url = {http://dml.mathdoc.fr/item/27177}
}
Carpintero, C.; Rosas, E.; Salas-Brown, Margot; Sanabria, J. $\mu$-compactness with respect to a hereditary class. Boletim da Sociedade Paranaense de Matemática, Tome 34 (2015) . doi : 10.5269/bspm.v34i2.27177. http://gdmltest.u-ga.fr/item/27177/