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Maps from a Simply Connected Space to Flag Manifold G/T 被引量:1

Maps from a Simply Connected Space to Flag Manifold G/T
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摘要 In this paper the classification of maps from a simply connected space X to a flag manifold G/T is studied.As an application,the structure of the homotopy set for self-maps of flag manifolds is determined. In this paper the classification of maps from a simply connected space X to a flag manifold G/T is studied.As an application,the structure of the homotopy set for self-maps of flag manifolds is determined.
作者 Xu An ZHAO
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2004年第6期1131-1134,共4页 数学学报(英文版)
基金 Supported by Chinese Post-Doctoral Scientific Foundation
关键词 Flag manifold SELF-MAPS Principal fibration Adams maps Flag manifold Self-maps Principal fibration Adams maps
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参考文献8

  • 1Borel, A.: Sur la cohomologie des espaces fibers principaux et des espaces homogenes de groupes de Liecompacts. Ann. of Math.. 57, 115-207 (1953).
  • 2Duan, H. B., Zhao: X. A.: The classification of cohomology endomorphisms of certain flag manifolds. Pacific Journal of Mathematics, 192, 93-102 (2000).
  • 3Zhao, X. A.: Cohomology endomorphisms of flag manifolds. Acta Mathematica Sinica, 44(6), 1099-1106(2001), (In Chinese).
  • 4Hans, J. Baues: Obstruction theory, Lecture notes in Mathematics, Springer-Verlag, 628, 1977.
  • 5Rutter, J. W.: A homotopy classification of maps into an induced fibre space. Topology, 6, 379-403 (1967).
  • 6Whitehead, G. W.: Elements of homotopy theory, Springer-Verlag, 1978.
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  • 8Glover, H., Homer. W.: Self-maps of flag manifolds. Trans of AMS, 267, 423-434 (1981).

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