Knaster's problem for almost $(Z_p)^k$-orbits

Details Knaster's problem for almost $(Z_p)^k$-orbits Knaster's problem for almost $(Z_p)^k$-orbits

2009-05-13

arxiv.org/abs/0905.2047v1

Topology and its Applications, 157:5, 2010, 941-945

Mathematics

Algebraic Topology

Scientific paper

10.1016/j.topol.2009.12.010

In this paper some new cases of Knaster's problem on continuous maps from
spheres are established. In particular, we consider an almost orbit of a
$p$-torus $X$ on the sphere, a continuous map $f$ from the sphere to the real
line or real plane, and show that $X$ can be rotated so that $f$ becomes
constant on $X$.

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