Indicator sequences and indicator topologies of Fort transformation groups

Fatemeh Ebrahimifar, Fatemah Ayatollah Zadeh Shirazi

Abstract: In the following text we prove that there exists a Fort transformation group with indicator sequence

(p_{0}, l d o t s, p_{n})

if and only if

0 = p_{0} l e q p_{1} l e q c d o t s l e q p_{n} = 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.

Mathematics Subject Classification ID

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