대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권4호
  • /
  • Pages.787-795
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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A GENERALIZATION OF THE NILPOTENT SPACE AND ITS APPLICATION

  • Han, Sang-Eon (Department of Computer and Applied Mathematics, College of Natural Science, Honam University)
  • 발행 : 2001.01.01
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초록

For the generalized nilpotent spaces, e.g. the locally nilpotent space, the residually locally nilpotent space and the space satisfying the condition ($T^{*}$) or ($T^{**}$), we find the pullback property of them. Furthermore we investigate some fiber properties of the space satisfying the condition ($T^{*}$) or ($T^{**}$), especially locally nilpotent space.

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참고문헌

  1. Homotopy limit, completions and localization v.304 A. K. Bousfield;D. M. Kan
  2. The Lefschetz Fixed Point Theorem R. F. Brown
  3. Nilpotent group action and Euler characteristic v.1298 B. Eckmann
  4. Kyushu J. of Math. v.52 no.2 On the R-good property of the space satisfying condition (T**) Sang-Eon Han
  5. North-Holland Math. studies v.55 Localization of Nilpotent Groups and Spaces P. Hilton;G. Mislin;J. Roitberg
  6. Courses in the Theory of Groups(2nd ed.) D. J. S. Robinson
  7. Houston J. of Math. v.21 no.1 Extensions of nilpotent groups J. A. Schafer
  8. Glasgow Math. J. v.39 Groups with few non-nilpotent subgroups H. Smith