Semi Bornological Groups
Anwar N. Imran, Sh. K. Said Husain · Journal of Physics Conference Series · 2019
Abstract The motivation for this work is to find the sufficient conditions to bornologize any group and solve the problem of boundedness for any group, by constructing new structure semi bornological groups. In particular, we show that every left (right) translations in semi bornological groups are bornological isomorphisms and therefore the semi bornological groups structures are homogeneous, and this property from the semi bornological group is not shared with bornological semigroups. Further, the boundedness of a semi bornological group can be deduced from its boundedness at the identity. So, the problem of boundedness for any group can be solved.