caa a22 4500 39753339X CHVBK 20180308164657.0 cr unu---uuuuu 161202e199508 xx s 000 0 eng 10.1112/jlms/52.1.147 doi (NATIONALLICENCE)oxford-10.1112/jlms/52.1.147 Krushkal Samuel L. Research Institute for Mathematical Sciences, Department of Mathematics and Computer Science, Bar-Ilan University 52900 Ramat-Gan, Israel Polynomial Convexity of Teichmüller Spaces [Elektronische Daten] [Samuel L. Krushkal] It is well known that finite-dimensional Teichmüller spaces are holomorphically convex, that is, they are domains of holomorphy. Moreover, the holomorphic convexity is fulfilled for all Teichmüller spaces in a stronger form: they are complex hyperconvex. In this note we establish that, in fact, finite-dimensional Teichmüller spaces possess a much stronger convexity property, namely, they are polynomially convex; in other words, they are Runge domains. Additionally, some geometric properties of Teichmüller spaces are established. © The London Mathematical Society Notes and Papers nationallicence Journal of the London Mathematical Society Oxford University Press 52/1(1995-08), 147-156 0024-6107 52:1<147 1995 52 jlms https://doi.org/10.1112/jlms/52.1.147 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1112/jlms/52.1.147 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krushkal Samuel L. Research Institute for Mathematical Sciences, Department of Mathematics and Computer Science, Bar-Ilan University 52900 Ramat-Gan, Israel NATIONALLICENCE 773 0- Journal of the London Mathematical Society Oxford University Press 52/1(1995-08), 147-156 0024-6107 52:1<147 1995 52 jlms Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford