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math.GN2025
Generic Compacta from Relations between Finite Graphs: Theory Building and Examples
Adam Bartoš, Tristan Bice, Alessandro Vignati
In recent work, the authors developed a simple method of constructing topological spaces from certain well-behaved partially ordered sets -- those coming from sequences of relation…
math.GN2024
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 T_1 compacta. This results in a du…