Proceedings of the American Mathematical Society

Author(s): John G. Miller
Journal: Proc. Amer. Math. Soc. 135 (2007), 4057-4061.
MSC (2000): Primary 58J22
Posted: September 7, 2007
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Abstract: Consider an orientable manifold with countably many complete components of bounded dimension. Suppose that its rational homology is infinitely generated in some degree. Then there is no choice of weight function for which the natural map from weighted $L^{2}$ cohomology to de Rham cohomology is surjective in that degree.

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