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A note on four types of regular relations
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In this paper, we study the four different types of relations,P(X; T); R(X; T), L(X; T), and S(X; T) in a transformation (X; T), and obtain some of their properties. In particular, we give a relationship between R(X; T) and S(X; T).
Abstract
In this paper, we study the four different types of relations,P(X; T); R(X; T), L(X; T), and S(X; T) in a transformation (X; T), and obtain some of their properties. In particular, we give a relationship between R(X; T) and S(X; T).
참고문헌 (10)
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- R. Ellis, "Lectures on topological dynamics" (1969), Benjamin
- R. Ellis, "A semigroup associated with a transformation group", Trans. Amer. Math. Soc, 94, pp.272~281 (1960)
- R. Ellis, "Homomorphisms of transformation groups", Trans. Amer. Math. Soc, 94, pp.258~271 (1960)
- S. Glasner, "Compressibility properties in topological dynamics", Amer. J. Math, 97, pp.148~171 (1975)
- P.S. Shoenfeld, "Regular homomorphisms of minimal sets", 박사, pp.1974
- J.O. Yu, "Regular relations in transformation group", J. Korean Math. Soc, 21, pp.41~48 (1984)
- 유정옥, "The regionally regular relation", 충청수학회지, 19(4), pp.365~373 (2006), 충청수학회
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