On the triviality of natural bundles of some compact homogeneous spaces (Q1589161)

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scientific article; zbMATH DE number 1541571
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On the triviality of natural bundles of some compact homogeneous spaces
scientific article; zbMATH DE number 1541571

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    On the triviality of natural bundles of some compact homogeneous spaces (English)
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    7 December 2000
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    In a previous paper of the author [Tr. Mosk. Mat. O-va 43, 116-141 (1981; Zbl 0525.57034)] a natural fibration is associated to a compact homogeneous space. In this article the homotopic properties of this fibration are studied in the case of compact homogeneous spaces with discrete isotopy subgroup. These properties are used for the study of arbitrary compact homogeneous spaces.
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    isotopy group
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    fibration
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    compact homogeneous space
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