Some examples of non-tidy spaces

Takahiro Matsushita

Some examples of non-tidy spaces

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arxiv 1404.5848 v2 pith:I32HNOFN submitted 2014-04-23 math.AT

Takahiro Matsushita This is my paper · ORCID

classification math.AT

keywords mathbbconstructequivariantexamplesfreeintegermanifoldnon-tidy

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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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