@article{Bayih_Dube_Ighedo_2021, title={On the Menger and almost Menger properties in locales}, volume={22}, url={https://polipapers.upv.es/index.php/AGT/article/view/14915}, DOI={10.4995/agt.2021.14915}, abstractNote={<p>The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober T<sub>D</sub>-spaces. Non-spatial Menger (and hence almost Menger) locales do exist, so that the extensions genuinely transcend the topological notions. We also consider projectively Menger locales, and show that, as in spaces, a locale is Menger precisely when it is Lindelöf and projectively Menger. Transference of these properties along localic maps (via direct image or pullback) is considered.</p>}, number={1}, journal={Applied General Topology}, author={Bayih, Tilahun and Dube, Themba and Ighedo, Oghenetega}, year={2021}, month={Apr.}, pages={199–221} }