Alexander V. Osipov
Published 2017-10-21Version 1
In this paper, we find at the properties of the family lambda which imply that the function space C(X,R^alpha) 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).
On homeomorphism groups and the set-open topology
Dieudonné completeness of function spaces
Independence of the metric in the fine $C^0$-topology of a function space
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