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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Suspension Homotopy of 4-manifolds And the Second 2-local Cohomotopy Sets
4-流形 悬浮同伦 第二个 2-局部 同伦集合
2023/4/28
In this talk we study the homotopy type of the (double) suspension of an orientable, closed, connected 4-manifold M, whose integral homology can have 2-torsion. Moreover, the decomposition results are...
Normal systems over ANR's, rigid embeddings and nonseparable absorbing sets
absolute neighbourhood retracts nonseparable absorbing sets infinite-dimensional manifolds strong Z-sets
2011/8/29
Abstract: Most of results of Bestvina and Mogilski [\textit{Characterizing certain incomplete infinite-dimensional absolute retracts}, Michigan Math. J. \textbf{33} (1986), 291--313] on strong $Z$-set...
Abstract: We show that for a strongly convergent sequence of geometrically finite Kleinian groups with geometrically finite limit, the Cannon-Thurston maps of limit sets converge uniformly. If however...
Transitivity and rotation sets with nonempty interior for homeomorphisms of the 2-Torus
Torus homeomorphisms rotation set transitivity omega limits
2011/1/18
We show that, if f is a homeomorphism of the 2–torus isotopic to the identity, and its lift e f is transitive, or even if it is transitive outside of the lift of the elliptic islands, then (0, 0) is i...
On the topology of semi-algebraic functions on closed semi-algebraic sets
topology of semi-algebraic functions closed semi-algebraic sets
2011/1/20
We consider a closed semi-algebraic set X Rn and a C2 semi-algebraic function f : Rn ! R such that f|X has a finite number of critical points. We relate the topology of X to the topology of the sets...
Lower bounds on the Hausdorff measure of nodal sets
Lower bounds Hausdorff measure of nodal sets
2010/12/8
Let N' be the nodal hypersurface of a -eigenfunction ' of eigenvalue 2on a smooth Riemannian manifold. We prove that Hn−1(N') ≥ C7 4− 3n 4 on the surface measure of its nodal set. Th...
Level Sets of the Takagi Function: Local Level Sets
Level Sets Takagi Function Local Level Sets
2010/11/30
The Takagi function : [0; 1] ! [0; 1] is a continuous non-di erentiable functio constructed
by Takagi in 1903. This paper studies the level sets L(y) = fx : (x) = yg of the Takagi
function (x)...
Geodesic diameter of sets defined by few quadratic equations and inequalities
Geodesic diameter of sets defined quadratic equations nequalities
2010/11/29
We prove a bound for the geodesic diameter of a subset of the unit ball in Rn described by a fixed number of quadratic equations and inequalities,which is polynomial in n, whereas the known bound for ...
Point sets that minimize $(\le k)$-edges, $3$-decomposable drawings, and the rectilinear crossing number of $K_{30}$
k–edges 3-decomposability rectilinear crossing number
2010/12/10
There are two properties shared by all known crossing-minimizing geometric drawings of Kn, for n a multiple of 3.First, the underlying n-point set of these drawings has exactly 3k+2
2(≤ k)...
A Furstenberg-Katznelson-Weiss type theorem on (d + 1)-point configurations in sets of positive density in finite field geometries
positive density finite field geometries
2010/12/9
We show that if E ⊂ Fdq , the d-dimensional vector space over the finite field with q elements,and |E| ≥ qd, where q−1 2 ≪ ≤ 1, then E contains an isometric copy of at least cd&#...
In this paper we study a notion of a -covering in connection with Bernstein sets and other types of nonmeasurability. Our results correspond to those obtained by Muthuvel in [7] and Nowik in [8]. We ...
期刊信息
篇名
Strong fuzzy compact sets and ultra-fuzzy compact sets in L-topological spaces
语种
英文
撰写或编译
作者
Sheng-Gang Li
第一作者单位
刊物名称
Fuzzy Sets and Systems
页面
147 (2004) 293-306
出版日期
2004年
月
日
文章标识(ISSN)
相...
C-Closed Sets in L-Fuzzy Topological Spaces and Some of its Applications
L-fuzzy topology Qa-compactness L-fuzzy C-closed set L-fuzzy C-continuous mappings L-fuzzy net L-fuzzy ideal C-convergence
2010/3/1
We introduce and study the notion of C-closed sets in L-fuzzy topological spaces. Then, C-convergence theory for nets and ideals is established in terms of C-closedness. Finally, we give a new concept...