Topologies for quotient fields of commutative integral domains

A very weak topology for the Mikusinski field of operators

“…Topologies for the Mikusinski field are given in [1], [3], and [9]. In the present paper we endow this field with a topology T such that sequences which converge in the sense of Mikusinski converge with respect to T, such that the identity "V (λ> 0) k =o k l holds and such that the mapping q-^-q" 1 is continuous.…”