Type: Article

Spaces in which every dense subset is Baire

García-Ferreira Salvador, García-Maynez y Cervantes Adalberto, Hrušák, M.;

Abstract:

We deal with several types of spaces in which every dense sub-space is Baire (D-Baire spaces). Baire almost P-spaces and open-hereditarily irresolvable Baire spaces are examples of D- spaces. We give a characterization of D-Baire spaces and characterize a particular class of them. We give an example of a D-Baire space whose square is not Baire.