Group structures of a function spaces with the set-open topology
Osipov, Alexander V.
Original · EN
In this paper, we find at the properties of the family lambda which imply that the function space C(X,Rᵃlpha) with the lambda-open topology is a semitopological group (paratopological group, topological group, topological vector space and other algebraic structures) under the usual operations of addition and multiplication (and multiplication by scalars).
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