CMS/SMC
Canadian Mathematical Society
www.cms.math.ca
Canadian Mathematical Society
  location:  PublicationsjournalsCMB
Publications        
Abstract view

Approximation of smooth maps by real algebraic morphisms

  Published:1997-12-01
 Printed: Dec 1997
  • Wojciech Kucharz
  • Kamil Rusek
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
Format:   HTML   LaTeX   MathJax   PDF   PostScript  

Abstract

Let $\Bbb G_{p,q}(\Bbb F)$ be the Grassmann space of all $q$-dimensional $\Bbb F$-vector subspaces of $\Bbb F^{p}$, where $\Bbb F$ stands for $\Bbb R$, $\Bbb C$ or $\Bbb H$ (the quaternions). Here $\Bbb G_{p,q}(\Bbb F)$ is regarded as a real algebraic variety. The paper investigates which ${\cal C}^\infty$ maps from a nonsingular real algebraic variety $X$ into $\Bbb G_{p,q}(\Bbb F)$ can be approximated, in the ${\cal C}^\infty$ compact-open topology, by real algebraic morphisms.
MSC Classifications: 14P05, 14P25 show english descriptions Real algebraic sets [See also 12Dxx, 13P30]
Topology of real algebraic varieties
14P05 - Real algebraic sets [See also 12Dxx, 13P30]
14P25 - Topology of real algebraic varieties
 

© Canadian Mathematical Society, 2014 : https://cms.math.ca/