### Impacto

### Downloads

Downloads per month over past year

Andradas Heranz, Carlos and Gamboa, J. M.
(1984)
*A note on projections of real algebraic varieties.*
Pacific Journal of Mathematics, 115
.
pp. 1-11.
ISSN 0030-8730

Preview |
PDF
866kB |

Official URL: http://projecteuclid.org/pjm

## Abstract

We prove that any regularly closed semialgebraic set of R", where R is any real closed field and regularly closed means that it is the closure of its interior, is the projection under a finite map of an irreducible algebraic variety in some Rn + k. We apply this result to show that any clopen subset of the space of orders of the field of rational functions K= R(X1,...iXn) is the image of the space of orders of a finite extension of K.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Real algebraic varieties; Regularly closed semialgebraic set; Clopen subset; Space of orders of rational functions |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 14843 |

Deposited On: | 18 Apr 2012 10:29 |

Last Modified: | 07 Aug 2018 11:46 |

### Origin of downloads

Repository Staff Only: item control page