대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제33권2호
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- Pages.303-310
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Gottlieb groups of spherical orbit spaces and a fixed point theorem
- Chun, Dae Shik (Chonbug National University) ;
- Choi, Kyu Hyuck (Wonkwang University) ;
- Pak, Jingyal (Wayne State University)
- 발행 : 1996.05.01
초록
The Gottlieb group of a compact connected ANR X, G(X), consists of all $\alpha \in \prod_{1}(X)$ such that there is an associated map $A : S^1 \times X \to X$ and a homotopy commutative diagram $$ S^1 \times X \longrightarrow^A X $$ $$incl \uparrow \nearrow \alpha \vee id $$ $$ S^1 \vee X $$.