Certain density theorems applied to the embeddability of iteration semigroups
Tóm tắt
Let A be an additive semigroup of real numbers the additive group generated by which is non-cyclic. Let
$$I=(a,b)$$
be an open interval and
$$\mathcal {A}=\left\{ f^\alpha :\alpha \in A\right\} $$
be an iteration semigroup of fixed point free increasing functions of I onto I such that
$$\alpha <\beta $$
implies
$$f^\alpha
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