$L^{\infty }$ cohomology is intersection cohomology

Abstract

Let $X$ be any subanalytic compact pseudomanifold. We show a De Rham theorem for $L^{\infty }$ forms. We prove that the cohomology of $L^{\infty }$ forms is isomorphic to intersection cohomology in the maximal perversity.

Appendix on subanalytic geometry added

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