Geodesic
Approximation of Smooth Maps by Real Algebraic Morphisms
Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 456-463

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Let G p,q(F) be the Grassmann space of all q-dimensional F-vector subspaces of F p, where F stands for R, C or H (the quaternions). Here G p,q(F) is regarded as a real algebraic variety. The paper investigates which C∞ maps from a nonsingular real algebraic variety X into G p,q(F) can be approximated, in the C ∞ compact-open topology, by real algebraic morphisms.
DOI : 10.4153/CMB-1997-054-x
Mots-clés : 14P05, 14P25 
Kucharz, Wojciech; Rusek, Kamil. Approximation of Smooth Maps by Real Algebraic Morphisms. Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 456-463. doi: 10.4153/CMB-1997-054-x
@article{10_4153_CMB_1997_054_x,
     author = {Kucharz, Wojciech and Rusek, Kamil},
     title = {Approximation of {Smooth} {Maps} by {Real} {Algebraic} {Morphisms}},
     journal = {Canadian mathematical bulletin},
     pages = {456--463},
     year = {1997},
     volume = {40},
     number = {4},
     doi = {10.4153/CMB-1997-054-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-054-x/}
}
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