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Certain generalizations of G-sequences and their exactness
- Authors
- Lee, Kee Young; Woo, Moo Ha; Zhao, Xuezhi
- Issue Date
- 2월-2008
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Gottlieb group; G-sequence; homotopy group
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.45, no.1, pp.119 - 131
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 45
- Number
- 1
- Start Page
- 119
- End Page
- 131
- ISSN
- 1015-8634
- Abstract
- In this paper, we generalize the Gottlieb groups and the related G-sequence of those groups, and present some sufficient conditions to ensure the exactness or non-exactness of G-sequences at some terms. We also give some applications of the exactness or non-exactness of Gsequences. Especially, we show that the non-exactness of G-sequences implies the non-triviality of homotopy groups of some function spaces.
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