ABSTRACT

Fell [1962] considers, for a topological space X, a certain topology on the complete lattice A ¯ ( X ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072621/6e3dda93-0297-4e21-9483-9ad6f30dbbc7/content/eq644.tif"/> of all closed subsets of X (ordered by the inclusion relation) for which the sets U ( C ; V 1 , ... , V n ) : = { A ∈ A ¯ ( X ) | A ∩ C = ϕ ,   A ∩ V i ≠ ϕ   for   i = 1 , ... n } https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072621/6e3dda93-0297-4e21-9483-9ad6f30dbbc7/content/eq645.tif"/>