Some examples of non-tidy spaces
classification
🧮 math.AT
keywords
mathbbconstructequivariantexamplesfreeintegermanifoldnon-tidy
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We construct a free $\mathbb{Z}_2$-manifold $X_n$ for a positive integer $n$ such that $w_1(X_n)^n \neq 0$, but there is no $\mathbb{Z}_2$-equivariant map from $S^2$ to $X_n$.
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