Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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THE GENERALIZED COGOTTLIEB GROUPS, RELATED ACTIONS AND EXACT SEQUENCES

  • Choi, Ho-Won (Department of Mathematics Korea University) ;
  • Kim, Jae-Ryong (Department of Mathematics Kookmin University) ;
  • Oda, Nobuyuki (Department of Applied Mathematics Faculty of Science Fukuoka University)
  • Received : 2016.09.13
  • Accepted : 2016.12.26
  • Published : 2017.09.01
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Abstract

The generalized coGottlieb sets are not known to be groups in general. We study some conditions which make them groups. Moreover, there are actions on the generalized coGottlieb sets which are different from known actions up to now. We give related exact sequence of the generalized coGottlieb sets. Using them, we obtain certain results related to the maps which preserve generalized coGottlieb sets.

Keywords

Acknowledgement

Supported by : Kookmin University, JSPS KAKENHI

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