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Topology of groups
The present paper is self-contained and can be read without previous knowledge of either group theory or topology, except for some alterations in the approach to elementary topology and some minor omissions elsewhere. The ...
A topological generalization of Schwarz' lemma
The classical lemma of Schwarz states that if f(a) = zg(z) where g(z) is holomorphic inside the unit circle, and if |f(z)| < 1 when |s| < 1, then |f(z)| < |z| when |z| < 2. The proof for this is based on the fast that if ...
A study of the position and nature of the singularities of functions given by their Taylor series
Abstract Not Available.