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is a topological mapping of the x, y plane, we call the function u topologically equivalent to x in this plane. Let us assume n such functions ti(x, y), (i = l, 2, • • • , n), in the same simply connected domain D. We have there n sheaves of curves ti(x, y) = const. We call this figure an n-web if two curves of different sheaves have not more than one point in common. We suppose the functions Uik(ti) to be continuous and strictly monotonie, so that for all pairsti^t', we have Uih(t)^Uik(t). It seems to be interesting to study n-webs satisfying the condition that there are such functions Uik(ti) satisfying identically in D the relations

Results and problems about 𝑛-webs of curves in a plane