Domínguez, XabierTarieladze, Vaja2022-03-082022-03-082021Domínguez, X., Tarieladze, V. (2021). On local quasi-convexity as a three-space property in topological abelian groups. Journal of Mathematical Analysis and Applications, 499(2), 125052, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2021.125052. (https://www.sciencedirect.com/science/article/pii/S0022247X21001311)http://hdl.handle.net/2183/29915Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG[Abstract] Let X be a topological abelian group and H a subgroup of X. We find conditions under which local quasi-convexity of both H and results in the same property for X. This is true for instance if H is precompact, or if X is metrizable and H is a dually embedded subgroup which is also either discrete or bounded torsion. We also give some general principles and point out some errors we have found in the existing literature on this problem.engAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Locally quasi-convex groupThree-space propertyDually embedded subgroupExtension of topological abelian groupsjournal articleopen access10.1016/j.jmaa.2021.125052