• 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 ...
    • On Local Quasi-Convexity as a Three-Space Property in Topological Abelian Groups 

      Domínguez, Xabier; Tarieladze, Vaja (Elsevier, 2021)
      [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, ...