2014/06/22 by Daniel Murfet, Murfet, Daniel
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA
paper · pdf · doi:10.48550/arxiv.1406.5749
v2: improved some notation and fixed typos. Published in J. Pure and Applied Algebra
arxiv created 2017/01/04 · arxiv updated 2017/01/05
We give a direct proof of a result of Sweedler describing the cofree cocommutative coalgebra over a vector space, and use our approach to give an explicit construction of liftings of maps into this universal coalgebra. The basic ingredients in our approach are local cohomology and residues.