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 Vector spaces as unions of proper subspaces


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In this note, we find a sharp bound for the minimal number or in general, indexing set of subspaces of a fixed finite codimension needed to cover any vector space V over any field. If V is a finite set, this is related to the problem of partitioning V into subspaces.



Autor: Apoorva Khare

Fuente: https://archive.org/



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