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@ARTICLE{,
         author = {C{\'{u}}th, Marek},
          title = {Separable determination in Banach spaces},
       abstract = {We study a relation between three different formulations of theorems on separable determination  - one using the concept of rich families, second via the concept of suitable models and third, a new one, suggested in this paper, using the notion of $\omega$-monotone mappings. In particular, we show that in Banach spaces all those formulations are in a sense equivalent and we give a positive answer to two questions of O. Kalenda and the author. Our results enable us to obtain new statements concerning separable determination of $\sigma$-porosity (and of similar notions) in the language of rich families; thus, not using any terminology from logic or set theory.},
  Preprint year = {2016}
}