This paper studies a sort of topological spaces by introducing ψ—factor, and discusses the subspace and product spaces of the sort of topological spaces by using Galois theory.
In this paper we give a characteristic property of convergence of nets in induced I(L)-topological spaces and a simplified proof for the N-compactness being an I(L)-'good extension'.
A mistake in Proposition I-1.21.1 of 'A Compendium of Continuous Lattices'by G.Giers et al. is pointed out and a revised proposition with a proof is given.
