Acta mathematica scientia,Series A

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The Embedded Subbundles over Module Bundles

1,2Zhang Feijun; 2Li Kaitai   

  1. (1.College of Mathematics and Information Science, Shaanxi Normal University, Shaanxi Xi’an 710062; 2.School of Science, Xi’an Jiaotong University, Shaanxi Xi’an 710049)
  • Received:2006-11-15 Revised:2008-04-25 Online:2009-02-25 Published:2009-02-25
  • Contact: Zhang Feijun

Abstract: To construct the embedded subbundles of free bundles and the embedded free subbundles of any module bundles, by using embedded relation of module bundles. It is indicated that any module bundles can becomes a embedded subbundles of free bundles,and that there is a free bundles (or projective bundles) is a embedded subbundles of any module bundles also. In particular, the condition which projective bundles change into free bundles is given.

Key words: Fibre bundles, Module bundles, Immersed subbundles, Embedded subbundles.

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