Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Robert O. Robson"'
Publikováno v:
Journal of Pure and Applied Algebra. 214:370-379
We use tools and methods from real algebraic geometry (spaces of ultrafilters, elimination of quantifiers) to formulate a theory of convexity in K N over an arbitrary ordered field. By defining certain ideal points (which can be viewed as generalizat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41f02bb455c01bd967ac5ae9707f2f77
https://doi.org/10.1016/j.jpaa.2009.06.006
https://doi.org/10.1016/j.jpaa.2009.06.006
The papers in this volume grew out of a year-long program in “Real Algebraic Geometry and Quadratic Forms”, held at the University of California at Berkeley during the 1990–1991 academic year. This valuable collection of research articles by to
Autor:
Robert O. Robson
Publikováno v:
Transactions of the American Mathematical Society. 326:89-99
Let R R be an arbitrary ordered field, let R ¯ \bar R be a real closure, and let R ~ \tilde R and R ~ n {\tilde R^n} denote the real spectra of R ¯ [ X ] \bar R[X] and R ¯ [ X 1 , … , X n ] \bar R[{X_1}, \ldots ,{X_n}] . We prove that a closed c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77998addf2a26c8f0c39d8eaf0e681d0
https://doi.org/10.1090/s0002-9947-1991-1091232-x
https://doi.org/10.1090/s0002-9947-1991-1091232-x
Autor:
Robert O. Robson
Publikováno v:
Journal of Pure and Applied Algebra. 63:301-327
Given an extension T of the theory of commutative rings with 1 admitting elimination of quantifiers, we set up a spectrum functor T-Spec from the category of commutative rings with 1 into the category of topological spaces. T-Spec A consists of equiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff727ebc59b6efaac21c50704cf5aae4
https://doi.org/10.1016/0022-4049(90)90071-o
https://doi.org/10.1016/0022-4049(90)90071-o
Publikováno v:
Contemporary Mathematics ISBN: 9780821851548
Recent Advances in Real Algebraic Geometry and Quadratic Forms
Recent Advances in Real Algebraic Geometry and Quadratic Forms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32e6e2a4fb699ee642162fd52f319e54
https://doi.org/10.1090/conm/155
https://doi.org/10.1090/conm/155
Autor:
Robert O. Robson
Publikováno v:
Real Analytic and Algebraic Geometry ISBN: 9783540523130
Let F be a real closed field and let Open image in new window . If Open image in new window in an open constructible set, an abstract function on V is a section of the natural projection π : Open image in new window over V. In this paper we undertak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::501c823c15e6c4bd5e84548c1ac7793f
https://doi.org/10.1007/bfb0083922
https://doi.org/10.1007/bfb0083922
Autor:
Robert O. Robson
Publikováno v:
Transactions of the American Mathematical Society. 326:89
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a702e7cf9f17fe93f10a918ddbd22e2d
https://doi.org/10.2307/2001856
https://doi.org/10.2307/2001856
Autor:
Robert O. Robson
Publikováno v:
Manuscripta Mathematica. 63:215-231
This paper treats the theory of semianalytic function germs over real closed fields more general than ℝ. An ordered field is microbial if it has a non-zero element whose powers converge to zero. The fields we treat are direct limits of countable mi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a148e38e895a20be7bc72b6189ca7f13
https://doi.org/10.1007/bf01168873
https://doi.org/10.1007/bf01168873