Geodesic
Homotopy properties of some real algebraic maps
Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 287-294.

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

We generalize an old result concerning homotopy groups of regular maps between a compact real algebraic variety and a Grassmann variety to a recently introduced class of stratified-regular maps. More precisely, we show that the embedding of the space of stratified-regular maps into the space of continuous (in the Euclidean topology) maps induces an isomorphism in all homotopy groups other then zeroth and a monomorphism in the latter case.
DOI : 10.4310/HHA.2016.v18.n1.a15
Classification : 14P05, 14P25
Keywords: algebraic vector bundle, stratified-regular map, Grassmannian 
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     author = {Maciej Zieli\'nski},
     title = {Homotopy properties of some real algebraic maps},
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     pages = {287--294},
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     year = {2016},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a15/}
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Maciej Zieliński. Homotopy properties of some real algebraic maps. Homology, homotopy, and applications, Tome 18 (2016) no. 1, pp. 287-294. doi : 10.4310/HHA.2016.v18.n1.a15. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n1.a15/

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