학술논문
Fundamental Groups of a Topological Transformation Group
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- 영문명
- 발행기관
- 충청수학회
- 저자명
- CHIN KU CHU SUNG KYU CHOI
- 간행물 정보
- 『Journal of the Chungcheong Mathematical Society』Volume 4, No. 1, 103~113쪽, 전체 11쪽
- 주제분류
- 자연과학 > 자연과학일반
- 파일형태
- 발행일자
- 1991.06.30
4,120원
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국문 초록
영문 초록
Some properties of a path space and the fundamental group σ(X, x₀, G) of a topological transformation group (X, G, π) are described. It is shown that u(X, x₀, H) is a normal subgroup of u(X, x₀, G) if His a normal subgroup of G ; Let (X, G, π) be a transformation group with the open action property. If every identification map p : Σ( X, x, G) → σ(X, z, G) is open for each x ∈ X, then λ induces a homeo-morphism between the fundamental groups σ(X, x₀, G) and σ(X, y₀, G) where λ is a path from x₀ to y₀ in X ; The space σ(X, x₀, G) is an H-space if the identification map p: Σ(X, x₀, G) → σ(X, x₀, G) is open in a topological transformation group (X, G, π).
목차
ABSTRACT
1. Subgroups of σ(X, x₀, G)
2. The Space Σ(X, x₀, G)
3. Fundamental Group σ(X, x₀, G)
REFERENCES
키워드
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