ASYMMETRIC NORMED BAIRE SPACE
Mohammed Bachir · INRIA a CCSD electronic archive server · 2021
We prove that an asymmetric normed space is never a Baire space if the topology induced by the asymmetric norm is not equivalent to the topology of a norm.More precisely, we show that a biBanach asymmetric normed space is a Baire space if and only if it is isomorphic to its associated normed space.