%0 Journal Article %T The weight filtration for real algebraic varieties II: Classical homology %A Clint McCrory %A Adam Parusinski %J Mathematics %D 2012 %I arXiv %X We associate to each real algebraic variety a filtered chain complex, the weight complex, which is well-defined up to filtered quasi-isomorphism, and which induces on classical (compactly supported) homology with Z/2 coefficients an analog of the weight filtration for complex algebraic varieties. This complements our previous definition of the weight filtration of Borel-Moore homology. %U http://arxiv.org/abs/1202.3129v2