Teichmüller's work on the type problem (To appear in Vol. VII of the Handbook of Teichmüller theory)

This paper gives a simple proof of the Wirsching-Goodwin representation of integers connected to 1 in the 3x+1 problem (see [5] and [2]).. The 3x + 1 problem asks whether, starting

C7 So Royden’s theorem about biholomorphic isometries of finite dimensional Teichmfller spaces is just a particular case of this result, because we have already

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If we look at regu- lar foliations (i.e. leaves are manifolds) on a singular space, then everything works except that the ´etale holonomy groupoid is now a singular Lie groupoid and

Among the most important ones, we mention the paper Untersuchun- gen ¨ uber konforme und quasikonforme Abbildungen (Investigations on conformal and quasiconformal mappings) [178]

Teichm¨ uller, in the last part of his paper Extremale quasikonforme Abbildungen und quadratische Differentiale (Ex- tremal quasiconformal mappings and quadratic

Keywords: Conformal invariants, conformal radius, module of a ring domain, extremal domain, reduced module, quasiconformal mapping, Modulsatz, type problem, line

We present an algorithm for the computation of the topological type of a real compact Riemann surface associated to an algebraic curve, i.e., its genus and the properties of the set