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The embedded subbundles over module bundles. (Chinese. English summary) Zbl 1199.55012

Summary: The aim of this paper is to construct the embedded subbundles of free bundles and the embedded free subbundles of any module bundles, by using the embedded relation of module bundles. It is indicated that any module bundle can become an embedded subbundle of free bundles, and that there are free bundles (or projective bundles) that are embedded subbundles of any module bundle. In particular, a condition under which projective bundles change into free bundles is given.

MSC:

55R10 Fiber bundles in algebraic topology
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