General Bourgin-Yang theorems

Zbigniew Błaszczyk; Wacław Marzantowicz; Mahender Singh

doi:10.1016/j.topol.2018.09.010

General Bourgin-Yang theorems

Algebraic Topology 2018-10-02 v4

Authors: 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.

Keywords

generalization theorems algebraic tori

Cite

@article{arxiv.1512.02399,
  title  = {General Bourgin-Yang theorems},
  author = {Zbigniew Błaszczyk and Wacław Marzantowicz and Mahender Singh},
  journal= {arXiv preprint arXiv:1512.02399},
  year   = {2018}
}

Comments

Final version. Numerous minor improvements throughout the text to improve readability. 19 pages, no figures

General Bourgin-Yang theorems

Abstract

Keywords

Cite

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