ON THE TOPOLOGY OF n-VALUED MAPS
نویسندگان
چکیده
We prove that an n-valued function that is lower semi-continuous is also upper semi-continuous and therefore continuous, that is, an n-valued map. Several conditions are shown to be equivalent to continuity for n-valued functions, in particular the continuity of a corresponding singlevalued function to a configuration space. Consequently, splitting is related to braid groups to prove a Splitting Characterization Theorem that generalizes the classical Splitting Lemma. This leads to a new type of construction of non-split n-valued maps.
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