Stratifications in Valued Fields
نویسنده
چکیده
In these notes, I present a new, strong notion of stratifications which describe singularities of sets in Henselian valued fields. In the first part, I give the definition, some examples, and I state the main result about their existence; in the second part, I explain how such a stratification in a valued field induces a classical Whitney stratification in R.
منابع مشابه
FUZZY HYPERVECTOR SPACES OVER VALUED FIELDS
In this note we first redefine the notion of a fuzzy hypervectorspace (see [1]) and then introduce some further concepts of fuzzy hypervectorspaces, such as fuzzy convex and balance fuzzy subsets in fuzzy hypervectorspaces over valued fields. Finally, we briefly discuss on the convex (balanced)hull of a given fuzzy set of a hypervector space.
متن کاملModelling element distributions in the atmospheres of magnetic Ap stars
Context. In recent papers convincing evidence has been presented for chemical stratification in Ap star atmospheres, and surface abundance maps have been shown to correlate with the magnetic field direction. Radiatively driven diffusion, which is known to be sensitive to the magnetic field strength and direction, is among the processes responsible for these inhomogeneities. Aims. Here we explor...
متن کاملAstrophysical turbulence modeling
The role of turbulence in various astrophysical settings is reviewed. Among the differences to laboratory and atmospheric turbulence we highlight the ubiquitous presence of magnetic fields that are generally produced and maintained by dynamo action. The extreme temperature and density contrasts and stratifications are emphasized in connection with turbulence in the interstellar medium and in st...
متن کاملStratifications for Moduli of Sheaves and Moduli of Quiver Representations
We study the relationship between two stratifications on parameter spaces for coherent sheaves and for quiver representations: a stratification by Harder–Narasimhan types and a stratification arising from the geometric invariant theory construction of the associated moduli spaces of semistable objects. For quiver representations, both stratifications coincide, but this is not quite true for she...
متن کاملGuided Visual Analysis for the Identification of Cancer Subtypes
Knowledge about cancer subtypes promises improved patient outcomes through refined therapeutic targeting. Gaining such knowledge is an important goal of integrative cancer genomics projects such as The Cancer Genome Atlas. Achieving this goal requires two steps: first, it is necessary to identify subsets of patient stratifications from millions of possible combinations in large cancer genomics ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2012