BP-theoretic instabilities to the motion planning problem in 4-torsion lens spaces

González, Jesús; Zárate, Leticia

Osaka J. Math., Tome 43 (2006) no. 2, p. 581-596 / Harvested from Project Euclid

Résumé

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.

Publié le : 2006-09-14
Classification: 55M30, 55N22, 70E60

@article{1159190002,
     author = {Gonz\'alez, Jes\'us and Z\'arate, Leticia},
     title = {BP-theoretic instabilities to the motion planning problem in 4-torsion lens spaces},
     journal = {Osaka J. Math.},
     volume = {43},
     number = {2},
     year = {2006},
     pages = { 581-596},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1159190002}
}

González, Jesús; Zárate, Leticia. BP-theoretic instabilities to the motion planning problem in 4-torsion lens spaces. Osaka J. Math., Tome 43 (2006) no. 2, pp.  581-596. http://gdmltest.u-ga.fr/item/1159190002/