Constructing compacta from posets
Copyright policy )Constructing compacta from posets
We develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second countable T_1 compacta. This results in a duality amenable to building such spaces from finite building blocks, essentially an abstract analog of classical constructions defining compacta from progressively finer open covers.
- Czech Academy of Sciences Czech Republic
- Autonomous University of Barcelona Spain
- Academy of Sciences Library Czech Republic
Topological representations of algebraic systems, Base properties of topological spaces, Bases, General Topology (math.GN), Filters, Mathematics - Category Theory, Compact (locally compact) metric spaces, Compacta, continua, Combinatorics of partially ordered sets, filters, Continua, posets, 06A07, 54D70, 54D80, 54E45, 54H10, Posets, compacta, FOS: Mathematics, Special constructions of topological spaces (spaces of ultrafilters, etc.), bases, Category Theory (math.CT), Stone duality, Mathematics - General Topology
Topological representations of algebraic systems, Base properties of topological spaces, Bases, General Topology (math.GN), Filters, Mathematics - Category Theory, Compact (locally compact) metric spaces, Compacta, continua, Combinatorics of partially ordered sets, filters, Continua, posets, 06A07, 54D70, 54D80, 54E45, 54H10, Posets, compacta, FOS: Mathematics, Special constructions of topological spaces (spaces of ultrafilters, etc.), bases, Category Theory (math.CT), Stone duality, Mathematics - General Topology
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