The group of isometries of an indistinguishablity operator
نویسندگان
چکیده
This paper studies some geometric aspects of indistinguishability operators (also called similarities and fuzzy equivalences). Concretely, it will be focused on the (geometric) group associated to a T-indistinguishability operator E on X (i.e., the group of all bijective maps h : X 4 X such that E ( x , y) = E(h(x) , h(Y)) b'x, Y E XI. The cases for E being one-dimensional and invariant under translations on the real line will be completely studied.
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