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arXiv · 1512.02399

General Bourgin-Yang theorems

Zbigniew Błaszczyk·Wacław Marzantowicz·Mahender Singh
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Abstract

We describe a unified approach to estimating the dimension of $f^{-1}(A)$ for any $G$-equivariant map $f \colon X \to Y$ and any closed $G$-invariant subset $A\subseteq Y$ in terms of connectivity of $X$ and dimension of $Y$, where $G$ is either a cyclic group of order $p^k$, a $p$-torus ($p$ a prime), or a torus.

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Zbigniew Błaszczyk, Wacław Marzantowicz, Mahender Singh. 2018-09-30. General Bourgin-Yang theorems. https://doi.org/10.1016/j.topol.2018.09.010

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