Some approximation problems in semi-algebraic geometry
نویسندگان
چکیده
منابع مشابه
Some Questions in Algebraic Geometry
Frans Oort \Een zot kan meer vragen \One fool can ask more questions dan tien wijzen kunnen beantwoorden." than ten wise men can answer." Een oud Nederlands spreekwoord. An old Dutch saying. Introduction In June 1995 several mathematicians will gather in Utrecht for a conference on \Arithmetic and geometry of abelian varieties," and this seems a good occasion to share with them some of the ques...
متن کاملSemi-algebraic Geometry of Braid Groups
The braid group of n-strings is the group of homotopy types of movements of n distinct points in the 2-plane R. It was introduced by E. Artin [1] in 1926 in order to study knots in R. He gave a presentation of the braid group by generators and relations, which are, nowadays, called the Artin braid relations. Since then, not only in the study of knots, the braid groups appear in several contexts...
متن کاملNon-Lipschitz Semi-Infinite Optimization Problems Involving Local Cone Approximation
In this paper we study the nonsmooth semi-infinite programming problem with inequality constraints. First, we consider the notions of local cone approximation $Lambda$ and $Lambda$-subdifferential. Then, we derive the Karush-Kuhn-Tucker optimality conditions under the Abadie and the Guignard constraint qualifications.
متن کاملSome Combinational Problems in Geometry
In this short survey I mainly discuss some recent problems which occupied me and my colleagues and collaborators for the last few years . I will not give proofs but will either give references to the original papers or to the other survey papers . I hope I will be able to convince the reader that the subject is "alive and well" with many interesting, challenging and not hopeless problems . Deve...
متن کاملSome Extremal Problems in Geometry
Continuing our work of [3] we obtain lower bounds on the number of simplices of different volumes and on the number of hyperplanes determined by n points in Ek , not all of which lie on an Ek-1 and no k of which lie on an Ek-2 . We also determine the minimum number of triangles t determined by n noncollinear points in the plane and discuss what values of t can be achieved . L . M . Kelly and 14...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Banach Center Publications
سال: 2015
ISSN: 0137-6934,1730-6299
DOI: 10.4064/bc107-0-9