| Abstrakt: |
Let G be a paratopological group. Following F. Lin and S. Lin, we say that the group G is pseudobounded, if for any neighborhood U of the identity of G, there exists a natural number n such that Un = G. The group G is ω-pseudobounded, if for any neighborhood U of the identity of G, the group G is a union of sets Un, where n is a natural number. The group G is premeager, if G ≠ Nn for any nowhere dense subset N of G and any positive integer n. In this paper we investigate relations between the above classes of groups and answer some questions posed by F. Lin, S. Lin, and S'anchez. [ABSTRACT FROM AUTHOR] |
