Embedding infinite trees into a cube of infinite dimension
نویسندگان
چکیده
منابع مشابه
The computable dimension of trees of infinite height
In a finite language, a model A is computable if its domain is a computable subset of ω, and its basic operations and relations are all computable. In computable model theory, algorithmic properties of algebraic systems are treated up to computable isomorphism. The number of distinct (up to computable isomorphism) computable presentations of a model A is called the computable dimension of A. If...
متن کاملExcluding Infinite Trees
For each infinite cardinal k we give several necessary and sufficient conditions for a graph not to contain a minor isomorphic to the infinite kbranching tree in terms of a certain kind of a "tree-decomposition," in terms of a "path-decomposition," and also in terms of a "cops-and-robber game." We also give necessary and sufficient conditions for a graph not to contain a subgraph isomorphic to ...
متن کاملAn application of Fibonacci numbers into infinite Toeplitz matrices
The main purpose of this paper is to define a new regular matrix by using Fibonacci numbers and to investigate its matrix domain in the classical sequence spaces $ell _{p},ell _{infty },c$ and $c_{0}$, where $1leq p
متن کاملFinitistic Dimension through Infinite Projective Dimension
We show that an artin algebra Λ having at most three radical layers of infinite projective dimension has finite finitistic dimension, generalizing the known result for algebras with vanishing radical cube. We also give an equivalence between the finiteness of fin.dim.Λ and the finiteness of a given class of Λ-modules of infinite projective dimension.
متن کاملNonlinear Stabilization in Infinite Dimension
Significant advances have taken place in the last few years in the development of control designs for nonlinear infinite-dimensional systems. Such systems typically take the form of nonlinear ODEs (ordinary differential equations) with delays and nonlinear PDEs (partial differential equations). In this article we review several representative but general results on nonlinear control in the infi...
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: Časopis pro pěstování matematiky
سال: 1972
ISSN: 0528-2195
DOI: 10.21136/cpm.1972.117774