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Separable determination in Banach spaces
Type of publication: Article
Citation:
Publication status: Submitted
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 project:
Preprint year: 2016
Preprint number:
Preprint ID:
Keywords:
Authors CĂșth, Marek
Added by: [mc]
Total mark: 0
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