Resumen de Constructing compacta from posets

Adam Bartoš, Tristan Bice, Alessandro Vignati

• We develop a simple method of constructing topological spaces from countable posets with finite levels, one which applies to all second-countable T1 compacta. This results in a duality amenable to building such spaces from finite building blocks, essentially an abstract analogue of classical constructions defining compacta from progressively finer open covers.