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THE GENERALIZED COGOTTLIEB GROUPS, RELATED ACTIONS AND EXACT SEQUENCES
- Authors
- Choi, Ho-Won; Kim, Jae-Ryong; Oda, Nobuyuki
- Issue Date
- 2017
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- cocyclic map; coGottlieb group
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.5, pp.1623 - 1639
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 54
- Number
- 5
- Start Page
- 1623
- End Page
- 1639
- ISSN
- 0304-9914
- 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.
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