논문KCI 등재
Induced topology by proximal relations
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초록
By considering induced topologies by proximal relations on a transformation semigroup we introduce a class of interesting topologies with nice properties; moreover when the phase space is a fort space (or some of its generalizations), these transformation semigroups turn simple enough such that their Ellis semigroups can be calculated completely.
Abstract
By considering induced topologies by proximal relations on a transformation semigroup we introduce a class of interesting topologies with nice properties; moreover when the phase space is a fort space (or some of its generalizations), these transformation semigroups turn simple enough such that their Ellis semigroups can be calculated completely.
참고문헌 (6)
- R. Ellis, "Lectures on Topological Dynamics" (1969), W. A. Benjamin
- M. Sabbaghan, "a−minimal sets", Journal of Science of the University of Tehran, 2(1), pp.1~12 (1997)
- M. Sabbaghan, "a−minimal sets and related topics in transformation semigroups (I)", International Journal of Mathematics and Mathematical Sciences, 25(10), pp.637~654 (2001)
- M. Sabbaghan, "a−minimal sets and related topics in transformation semigroups (II)", International Journal of Mathematics and Mathematical Sciences, 25(10), pp.655~668 (2001)
- M. Sabbaghan, "A note on transformation semigroups", Iranian International Journal of Science, 2(2), pp.169~180 (2001)
- J.A. Seebach, "Counter examples in topology" (1978), Springer-Verlag
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