Definition
The fine topology on the Euclidean space is defined to be the coarsest topology making all subharmonic functions (equivalently all superharmonic functions) continuous. Concepts in the fine topology are normally prefixed with the word 'fine' to distinguish them from the corresponding concepts in the usual topology, as for example 'fine neighbourhood' or 'fine continuous'.
Read more about this topic: Fine Topology (potential Theory)
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—Samuel Taylor Coleridge (1772–1834)
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