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The existence of a kind of bundle map

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Abstract

By means of the theory of Postnikov resolution, a sufficient condition for the existence of a kind of bundle maps is obtained. Some applications of the result are given. Particularly, it is proven that the deleted products as well as configuration spaces of two simply connected manifolds with suitable dimension have the same homotopy type when the original manifolds are homotopically equivalent.

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Authors and Affiliations

  1. College of Science, Nanjing University of Aeronautics and Astronautics, 210016, Nanjing, China

    Zhiming Gu

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  1. Zhiming Gu
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Correspondence to Zhiming Gu.

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Gu, Z. The existence of a kind of bundle map. Sci. China Ser. A-Math. 44, 1509–1514 (2001). https://doi.org/10.1007/BF02880790

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  • DOI: https://doi.org/10.1007/BF02880790

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