Group structures of a function spaces with the set-open topology
General Topology
2017-10-24 v1 Algebraic Topology
Group Theory
Rings and Algebras
Abstract
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).
Cite
@article{arxiv.1710.07854,
title = {Group structures of a function spaces with the set-open topology},
author = {Alexander V. Osipov},
journal= {arXiv preprint arXiv:1710.07854},
year = {2017}
}
Comments
9 pages