On Macroscopic dimension of non-spin 4-manifolds
classification
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inequalitymanifoldsnon-spincoveringdimensionfinitefundamentalgroup
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We prove that for 4-manifolds $M$ with residually finite fundamental group and non-spin universal covering $\Wi M$, the inequality $\dim_{mc}\Wi M\le 3$ implies the inequality $\dim_{mc}\Wi M\le 2$.
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