대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제58권2호
  • /
  • Pages.445-449
  • /
  • 2021
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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RELATIVE SELF-CLOSENESS NUMBERS

  • 투고 : 2020.04.16
  • 심사 : 2020.12.30
  • 발행 : 2021.03.31
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초록

We define the relative self-closeness number N��(g) of a map g : X → Y, which is a generalization of the self-closeness number N��(X) of a connected CW complex X defined by Choi and Lee [1]. Then we compare N��(p) with N��(X) for a fibration $X{\rightarrow}E{\rightarrow\limits^p}Y$. Furthermore we obtain its rationalized result.

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참고문헌

  1. H. W. Choi and K. Y. Lee, Certain numbers on the groups of self-homotopy equivalences, Topology Appl. 181 (2015), 104-111. https://doi.org/10.1016/j.topol.2014.12.004
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  5. P. Hilton, G. Mislin, and J. Roitberg, Localization of nilpotent groups and spaces, North-Holland Publishing Co., Amsterdam, 1975.
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  7. D. Sullivan, Infinitesimal computations in topology, Inst. Hautes Etudes Sci. Publ. Math. No. 47 (1977), 269-331 (1978). https://doi.org/10.1007/BF02684341