Geodesic
The Harnack--Thom Inequalities for Sheaves with Involution and Their Applications
Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 686-695.

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For the cohomology of a sheaf of Abelian groups with involution on a topological space, inequalities that are analogs of the classical Harnack–Thom inequality for the cohomology of a topological space with involution are proved. The general inequalities obtained are applied to reprove some known inequalities and prove new ones. 
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V. A. Krasnov. The Harnack--Thom Inequalities for Sheaves with Involution and Their Applications. Matematičeskie zametki, Tome 74 (2003) no. 5, pp. 686-695. http://geodesic.mathdoc.fr/item/MZM_2003_74_5_a4/

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