Given a sub-surface group A|c: x1...xnth sub elements is homologous to connect groups d|n. pi d|n^2| A|c--->c---->C^2:ar|i..||>. So
elements are condensed on I|i|K elements in which c trc l|i|k = pi d|n^2 + i|A(cx,cy,cz)+{n:close n:open trace V| component
{hence, A|c warped to c trc l|i|k: C|x,y
where l|i|k is a true condensed surface
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