A short proof of a lemma of G. R. MacLane
A short proof of a lemma of G. R. MacLane
Let/ be holomorphic and nonconstant in D= {\z\ <l}.The level set LÇK) of /is defined as [z: \f(z)\ =X, X^O}.In [l] the following lemma [l, p. 10 ] is quite fundamental.Lemma.Iff is holomorphic, bounded, and nonconstant in D, then for no X can L(X) contain a sequence of disjoint arcs …