Concerning real valued maps of the $n$-sphere
نویسندگان
چکیده
منابع مشابه
ON THE TOPOLOGY OF n-VALUED MAPS
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 Splittin...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1957
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1957-0091468-6