Main Article Content
A Note on Reconstruction of Spaces and Maps from Lattice Data
Abstract
Reconstruction of topological spaces from the lattices Ω(X)
of open sets, and of continuous maps from lattice homomorphisms satisfying
additional
properties (formulated in lattice terms) is discussed. We focus on the question
when and how the filters λ(x) = {U | x ∈ U ∈ Ω(X)}can
be specified by algebraic means.
Mathematics Subject Classification (1991): 54D10, 06D99
Keywords: lattice, frame, centred filters, lower seperation axioms,
topological space, open, sets, continuous maps, continuous map, homomorphisms
Quaestiones
Mathematicae 24(1) 2001, 55–63
of open sets, and of continuous maps from lattice homomorphisms satisfying
additional
properties (formulated in lattice terms) is discussed. We focus on the question
when and how the filters λ(x) = {U | x ∈ U ∈ Ω(X)}can
be specified by algebraic means.
Mathematics Subject Classification (1991): 54D10, 06D99
Keywords: lattice, frame, centred filters, lower seperation axioms,
topological space, open, sets, continuous maps, continuous map, homomorphisms
Quaestiones
Mathematicae 24(1) 2001, 55–63
