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/