ScalingStacks

Theorem 1 [03RS]

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Theorem 1

There exists a set Σ\Sigma of the second category (in the sense of Baire) in the space of almost complex structures compatible with ω\omega such that Fukaya categories F⁡(V,ω,J1,Ω1)F(V,\omega,J_{1},\Omega_{1}) and F⁡(V,ω,J2,Ω2)F(V,\omega,J_{2},\Omega_{2}) are equivalent as long as J1,J2∈ΣJ_{1},J_{2}\in\Sigma, and (J1,Ω1)(J_{1},\Omega_{1}) is homotopic to (J2,Ω2)(J_{2},\Omega_{2}).

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