搜索结果: 1-15 共查到“数理逻辑与数学基础 E-sets”相关记录18条 . 查询时间(0.015 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Borel conjecture for the torus and the splitting of surgery sets
环面 Borel猜想 外科手术集 分裂
2023/5/10
The Borel conjecture considers the obstruction from homotopy equivalence to homeomorphism for aspherical manifolds. The torus is the first computed case of Borel conjecture with the idea of splitting ...
Walks on generating sets of Abelian groups。
Walks on generating sets of groups
Markov chain the data the random path organization theory parameters
2015/7/14
We study a Markov chain on generating n-tuples of a ®xed
group which arises in algorithms for manipulating ®nite groups. The
main tools are comparison of two Markov chains on di€erent...
Cupping with random sets
Cupping random sets Logic
2012/6/29
We prove that a set is K-trivial if and only if it is not weakly ML-cuppable. Further, we show that a set below zero jump is K-trivial if and only if it is not ML-cuppable. These results settle a ques...
The hierarchy of omega1-Borel sets
Borel hierarchies Martin’s Axiom Q-set Cohen real model Steel forcing
2011/9/20
Abstract: The family omega1-Borel sets is the smallest family of subsets of the real line which contains the family of open sets and is closed under complementation and omega1 unions. We show:
Theor...
On the quasi-regularity of non-sectorial Dirichlet forms by processes having the same polar sets
Dirichlet form generalized Dirichlet form quasi-regularity standard process
2011/1/20
We obtain a criterion for the quasi-regularity of generalized (non-sectorial) Dirich-let forms, which extends the result of P.J. Fitzsimmons on the quasi-regularity of (sectorial)
semi-Dirichlet form...
In this paper we construct exponentionally many non-isomorphic skew Hadamard difference sets over an elementary abelian group of order q3.
We develop a new technique that allows us to show in a unified way that many well-known combinatorial theorems, including Tur\'an's theorem, Szemer\'edi's theorem and Ramsey's theorem, hold almost su...
Bohr and Besicovitch almost periodic discrete sets and quasicrystals
Bohr and Besicovitch almost periodic discrete sets quasicrystals
2010/11/23
A discrete set $A$ in the Euclidian space is almost periodic if the measure with the unite masses at points of the set is almost periodic in the weak sense. We investigate properties of such sets in ...
Building on recent work by Rippon and Stallard, we explore the intricate structure of the spider's web fast escaping sets associated with certain transcendental entire functions. Our results are expr...
Nontangential limits and Fatou-type theorems on post-critically finite self-similar sets
Fatou-type theorems post-critically finite self-similar sets
2010/11/18
In this paper we study the boundary limit properties of harmonic functions on $\mathbb R_+\times K$, the solutions $u(t,x)$ to the Poisson equation \[ \frac{\partial^2 u}{\partial t^2} + \Delta u = 0...
Finitely Suslinian models for planar compacta with applications to Julia sets
Continuum finitely Suslinian locally connected monotone map
2010/12/1
A compactum X C is unshielded if it coincides with the boundary of the unbounded component of C\X. Call a compactum X finitely Suslinian if every collection of pairwise disjoint subcontinua of X who...
Furstenberg sets for a fractal set of directions
Furstenberg sets Hausdorff dimension dimension function
2010/11/29
In this note we study the behavior of the size of Fursten-berg sets with respect to the size of the set of directions defining it. For any pair α, β 2 (0, 1], we will say that a set E R2 is an F -s...
Induced Mappings on Boolean Algebras of Clopen Sets and on Projections of the C*-Algebra C(X)
Unitary Projections Almost Isomorphisms Boolean Algebra Clopen Subset
2010/2/26
For a compact space X, any group automorphism j of C(X,S1) induces a mapping Q on the Boolean algebra of the clopen subsets of X. We prove that the disjointness of Q equivalent to qj is an orthoisomor...
Signs in the cd-index of Eulerian partially ordered sets
the cd-index Eulerian partially ordered sets
2010/10/29
A graded partially ordered set is Eulerian if every interval has the same number of elements of even rank and of odd rank. Face lattices of convex polytopes are Eulerian. For Eulerian partially order...