A. Yu. Volovikov, “A theorem of Bourgin–Yang type for <nobr>$\mathbb{Z}_p^n$</nobr>-action”, Mat. Sb., 1992, Volume 183, Number 7,Pages <nobr>115

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A theorem of Bourgin–Yang type for $\mathbb{Z}_p^n$-action

A. Yu. Volovikov

Abstract: A theorem of Bourgin–Yang type is proved for maps of spaces with $\mathbb{Z}_p^n$-action into manifolds. The results are applied to the problem of Knaster for maps of spheres into the line and the plane.

UDC: 515.142.226

MSC: Primary 55M20; Secondary 55M35

Received: 17.05.1991