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 $(p_0,\dots ,p_n)$ if and only if $0=p_0\le p_1\le \cdots \le p_n=1$, 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.

8 pages