Über einige lokale Homotopieeigenschaften für reell- und komplex-analytische Okasche Paare

In this article a local homotopy property is shown to hold for certain Oka pairs of sheaves. The proof treats complexanalytic [5] and real-analytic (§1) Oka pairs simultaneously and is based on a "stratification" of the singularities of analytic sets enabling the use of obstruction theory. The property is applied to prove the existence of conditional continuous, real-analytic and holomorphic homotopies of sections of a fibre bundle with a Lie group as fibre (§5,§6).