On Arrangements of Jordan Arcs With Three Intersections Per Pair

Cover On Arrangements of Jordan Arcs With Three Intersections Per Pair
On Arrangements of Jordan Arcs With Three Intersections Per Pair
Herbert Edelsbrunner
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For instance, we take zero copies of each hole, one copy of each cell in K bordered by a segment not on the i-axis, and n copies of the lower half- plane. We call these copies patches to distinguish them from the underlying cells themselves. Initially we sew these patches together to form n surfaces^ 5", each surface corresponding to one of the Ki. We then repeatedly perform a "gluing" operation combining pairs of these surfaces into new surfaces, until only one surfeice remains; this will be t...he desired surface R. We now elaborate on this construction.
The initial surface 5, for 1

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