• On g-barrelled groups and their permanence properties 

      Borsich, Tayomara; Chasco, MJ; Domínguez, Xabier; Martín Peinador, Elena (Elsevier, 2019)
      [Abstract:] The g-barrelled groups constitute a vast class of abelian topological groups. It might be considered as a natural extension of the class of barrelled topological vector spaces. In this paper we prove that ...
    • On local cross sections in topological abelian groups 

      Bello, Hugo J.; Chasco, MJ; Domínguez, Xabier; Stevens, T. Christine (Springer, 2018)
      [Abstract:] We introduce the notion of local pseudo-homomorphism between two topological abelian groups. We prove that it is closely related with the widely studied notions of local cross sections and splitting extensions ...
    • Topological Groups of Lipschitz Functions and Graev Metrics 

      Chasco, MJ; Domínguez, Xabier; Tkachenko, Mikhail (Elsevier, 2022)
      [Abstract] We study the properties of the free abelian topological group Ad(X) on a metric space (X,d) endowed with the topology generated by the Graev extension dˆ of a given metric d on X. We find that the group of ...