TOPOLOGICAL CELL DECOMPOSITION AND DIMENSION THEORY IN P-MINIMAL FIELDS
نویسندگان
چکیده
منابع مشابه
Cell decomposition for P-minimal fields
In [S-vdD] P. Scowcroft and L. van den Dries prove a Cell Decomposition Theorem for p-adically closed fields. We work here with the notion of P -minimal fields defined by D. Haskell and D. Macpherson in [H-Mph]. We prove that a P -minimal field K admits cell decomposition if and only if K has definable selection. A preprint version in French of this result appeared as a prepublication [M].
متن کاملCell Decomposition and Dimension Functions in First-order Topological Structures
The notion of a cell and that of a cell decomposition has been a central one in the study of certain first-order theories. A cell is a particular kind of definable set. The notion of a cell was first explicitly considered in [8], in the context of the theory of real closed fields. Collins defined a class of cells in this context, and showed that every definable subset of a real closed field is ...
متن کاملMinimal Subshifts of Arbitrary Mean Topological Dimension
Let G be a countable infinite amenable group and P be a polyhedron. We give a construction of minimal subshifts of P with arbitrarily mean topological dimension less than dimP .
متن کاملMinimal embedding dimension bounds for receptive fields
Curto, et. al., in 2013 outlined the neural ring, and neural ideal for describing receptive field structures of groups of neurons. In this paper we review their results, and explores some bounds that the algebraic and simplicial complex structures induce on the minimal embedding dimension of the receptive fields.
متن کاملDimension theory and fuzzy topological spaces
J.M. Aarts introduced and studied a new dimension function, Hind, in 1975 and obtained several results on this function. In this paper, a new local inductive dimension function called local huge inductive dimension function denoted by locHind is introduced and studied. Furthermore, an effort is made to introduce and study dimension functions for fuzzy topological spaces. It has been possible to...
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: The Journal of Symbolic Logic
سال: 2017
ISSN: 0022-4812,1943-5886
DOI: 10.1017/jsl.2016.45