Compact sets on closed surfaces admit a canonical core decomposition into atoms via the Schönflies equivalence, yielding a Peano compactum quotient that is the finest with this property.
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Atoms of Compacta on Closed Surfaces
Compact sets on closed surfaces admit a canonical core decomposition into atoms via the Schönflies equivalence, yielding a Peano compactum quotient that is the finest with this property.