Hindawi, Abstract and Applied Analysis, (2010), p. 1-5
DOI: 10.1155/2010/375014
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We define an equivalence relation on a topological space which is acted by topological monoid $S$ as a transformation semigroup. Then, we give some results about the $S$ -invariant classes for this relation. We also provide a condition for the existence of relative $S$ -invariant classes.