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arXiv · 1404.5848

Some examples of non-tidy spaces

Takahiro Matsushita
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Abstract

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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Takahiro Matsushita. 2014-04-26. Some examples of non-tidy spaces. https://arxiv.org/abs/1404.5848

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