Indicator sequences and indicator topologies of Fort transformation groups

Abstract

In the following text we prove that there exists a Fort transformation group with indicator sequence (p0,…,pn) if and only if 0=p0≤ p1≤·s≤ pn=1, moreover we characterize all possible indicator topological spaces of Fort transformation groups.The text will study indicator sequences and indicator topologies of Fort transformation semigroups too.

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