2 problems

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Smith–Thom inequality for real Deligne–Mumford stacks
Real stack Smith–Thom conjecture. The dimension of the mod- $2$ cohomology of the real locus should satisfy
Conjectureopendeligne-mumford-stacks real-algebraic-geometry smith-thom-inequalityarXiv posted 2 days ago
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Smith–Thom inequality for topological groupoids with involution
Smith–Thom conjecture. The inequality
Conjectureopeninvolutions smith-thom-inequality topological-groupoidsarXiv posted 2 days ago

Smith–Thom inequality for real Deligne–Mumford stacks