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Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/56654
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dc.contributor.authorLarusson, F.-
dc.date.issued2009-
dc.identifier.citationDocumenta Mathematica, 2009; 14(1):691-697-
dc.identifier.issn1431-0643-
dc.identifier.issn1431-0643-
dc.identifier.urihttp://hdl.handle.net/2440/56654-
dc.description.abstractWe show that the homotopy type of a complex manifold X satisfying the Oka property is captured by holomorphic maps from the affine spaces Cn, n ≥ 0, into X. Among such X are all complex Lie groups and their homogeneous spaces. We present generalisations of this result, one of which states that the homotopy type of the space of continuous maps from any smooth manifold to X is given by a simplicial set whose simplices are holomorphic maps into X.-
dc.description.statementofresponsibilityFinnur Lárusson-
dc.language.isoen-
dc.publisherDeutsche Mathematiker Vereinigung-
dc.source.urihttp://www.math.uiuc.edu/documenta/vol-14/24.html-
dc.subjectComplex manifold-
dc.subjectStein manifold-
dc.subjectOka manifold-
dc.subjectOka property-
dc.subjectsimplicial set-
dc.subjectsingular set-
dc.subjectaffine simplex-
dc.subjecthomotopy type-
dc.subjectweak equivalence.-
dc.titleAffine simplices in Oka manifolds-
dc.typeJournal article-
pubs.publication-statusPublished-
dc.identifier.orcidLarusson, F. [0000-0001-5691-4942]-
Appears in Collections:Aurora harvest 5
Mathematical Sciences publications

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