Abstract
The Brown-Peterson cohomology for skeleta of the classifying space of the group $\mathbb{Z}_{4}\times\mathbb{Z}_{4}$ is analyzed in order to describe obstructions to the motion planning problem for a particle moving in a 4-torsion lens space. We discuss the relationship of this situation to the Euclidean immersion problem for $2^{e}$-torsion lens spaces, and the way this leads to an alternative approach to the classical immersion problem for real projective spaces.
Citation
Jesús González. Leticia Zárate. "BP-theoretic instabilities to the motion planning problem in 4-torsion lens spaces." Osaka J. Math. 43 (3) 581 - 596, September 2006.
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