A homotopy theorem for Oka theory

  • Luca StuderEmail author


We prove a homotopy theorem for sheaves. Its application shortens and simplifies the proof of many Oka principles such as Gromov’s Oka principle for elliptic submersions.



I would like to thank Frank Kutzschebauch for suggesting the topic and many helpful discussions. Moreover I would like to thank Finnur Lárusson and Gerald Schwarz for numerous valuable comments on a preprint. I am also very thankful for stimulating discussions with Jasna Prezelj and Franc Forstnerič. Moreover, I would like to thank the referee for valuable comments. The study was funded by Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (Grant no. 200021-178730).


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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Universität BernBernSwitzerland

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