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Jul 13, 2010 at 3:32 comment added Victor Protsak There is a well-developed theory for the case of $\textit{affine}$ hyperplanes, but I cannot recall having seen anything interesting in the infinite linear case.
Jul 12, 2010 at 15:04 comment added Mariano Suárez-Álvarez By the way: why can we «assume that the first de Rham cohomology is finite dimensional»?
Jul 12, 2010 at 14:56 comment added Mariano Suárez-Álvarez ...and you probably mean a countable union of hyperplanes?
Jul 12, 2010 at 14:39 comment added Robin Chapman The set $M$ may not be closed (and so $M^c$ may not be open and thus may not have de Rham cohomology).
Jul 12, 2010 at 14:35 history asked Ron Yang CC BY-SA 2.5