Geodesic
Equivariant maps related to the topological Tverberg conjecture
Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 155-170.

Voir la notice de l'article provenant de la source International Press of Boston

Using equivariant obstruction theory we construct equivariant maps from certain universal spaces to representation spheres for cyclic groups, products of elementary Abelian groups and dihedral groups. Restricting them to finite skeleta constructs equivariant maps between spaces which are related to the topological Tverberg conjecture. This answers negatively a question of Özaydin posed in relation to weaker versions of the same conjecture. Further, it also has consequences for Borsuk–Ulam properties of representations of cyclic and dihedral groups.
DOI : 10.4310/HHA.2017.v19.n1.a8
Classification : 55P91, 52A35, 55S91
Keywords: Tverberg’s theorem, equivariant obstruction theory 
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     title = {Equivariant maps related to the topological {Tverberg} conjecture},
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     pages = {155--170},
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     doi = {10.4310/HHA.2017.v19.n1.a8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a8/}
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Samik Basu; Surojit Ghosh. Equivariant maps related to the topological Tverberg conjecture. Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 155-170. doi : 10.4310/HHA.2017.v19.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a8/

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