@article{Arhangelskii_Uspenskij_2006, title={Topological groups: local versus global}, volume={7}, url={https://polipapers.upv.es/index.php/AGT/article/view/1933}, DOI={10.4995/agt.2006.1933}, abstractNote={<p>It is well known that locally compact groups are paracompact. We observe that this theorem can be generalized as follows: every locally paracompact group is paracompact. We prove a more general version of this statement using quotients. Similar ‘local implies global’ theorems hold also for many other properties, such as normality, metacompactness, stratifiability, etc.</p>}, number={1}, journal={Applied General Topology}, author={Arhangelskii, A. V. and Uspenskij, Vladimir V.}, year={2006}, month={Apr.}, pages={67–72} }