## Excision for simplicial sheaves on the Stein site and Gromov’s Oka principle (2003)

Venue: | MR1966772 (2004b:32041), Zbl 1078.32017 |

Citations: | 8 - 3 self |

### BibTeX

@INPROCEEDINGS{Lárusson03excisionfor,

author = {Finnur Lárusson},

title = {Excision for simplicial sheaves on the Stein site and Gromov’s Oka principle},

booktitle = {MR1966772 (2004b:32041), Zbl 1078.32017},

year = {2003}

}

### OpenURL

### Abstract

Abstract. A complex manifold X satisfies the Oka-Grauert property if the inclusion O(S, X) ֒ → C(S, X) is a weak equivalence for every Stein manifold S, where the spaces of holomorphic and continuous maps from S to X are given the compact-open topology. Gromov’s Oka principle states that if X has a spray, then it has the Oka-Grauert property. The purpose of this paper is to investigate the Oka-Grauert property using homotopical

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