(BCT1) Every complete pseudometric space is a Baire space. In particular, every completely metrizable topological space is a Baire space. (BCT2) Every locally compact regular space is a Baire space. In particular, every locally compact Hausdorff space is a Baire space.
(bct1) every complete pseudometric space is a baire space in particular every completely metrizable topological space is a baire space (bct2) every locally compact regular space is a baire space in particular every locally compact hausdorff space is a baire space