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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Convex sets with Oka complements
Oka补 凸集 Oka流形
2023/11/29
It is now known that the complement of any polynomially convex compact set K in C^n is an Oka manifold. In particular this holds if K is convex. I will discuss a recent result, joint with Forstneri?, ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Substitutes and Complements
替代条件 离散经济体 竞争均衡
2023/4/18
It is well known that the substitutes condition plays a key role in guaranteeing the existence of competitive equilibrium in discrete economies. It also brings useful structure to equilibria, and enge...
On the Permanents of Complements of the Direct Sum of identity Matrices
Complement, permanent magnet straight, identity matrix
2015/7/14
On the Permanents of Complements of the Direct Sum of identity Matrices.
A connection between the bipartite complements of line graphs and the line graphs with two positive eigenvalues
line graphs graph spectra complements Courant-Weyl inequalities
2012/4/16
In 1974 Cvetkovi\'c and Simi\'c showed which graphs $G$ are the bipartite complements of line graphs. In 2002 Borovi\'canin showed which line graphs $L(H)$ have third largest eigenvalue $\lambda_3\leq...
We make some remarks on the foundations of the homotopy theory of enriched precategories, as exposed in Carlos Simpson's book "Homotopy theory of higher categories".
Cofinitely Hopfian groups, open mappings and knot complements
Cofinitely Hopfian open mappings relatively hyperbolic
2011/1/19
A group is defined to be cofinitely Hopfian if every homomorphism → whose image is of finite index is an automorphism.Geometrically significant groups enjoying this pr...
Contact Homology of Orbit Complements and Implied Existence
Contact Homology of Orbit Complements Implied Existence
2011/1/19
For Reeb vector elds on closed 3-manifolds, cylindrical contact homology is used to show that the existence of a set of closed Reeb orbit with certain knotting/linking properties implies the existenc...
On complements and the factorization problem for Hopf algebras
Normal Hopf subalgebras Semi-direct product
2011/1/20
Two new results concerning complements in a semisim-ple Hopf algebra are proved. They extend some well known results from group theory. The uniqueness of Krull Schmidt Remak type
decomposition is pro...
Complements, Approximations, Smoothings and Invariance Properties
Nonsmooth analysis epi-Lipschitz complement approximations invariance differential inclusion smoothing proximal smoothness ]tangentiality feedback convolution Hamiltonian-Jacobi inequalities
2009/2/5
Proximal methods are used to determine the relationship between normal cones to a closed set in $\Re^n$ and those to the closure of its complement. The geometry of outer and inner set approximations i...
The Erd\H{o}s-S\'{o}s Conjecture for Graphs Whose Complements Contain No $\large \pmb {C_4}$
Graph tree packing
2007/12/11
Erd\H{o}s and S\'{o}s conjectured in 1963 (see [1],Problem 12 in 247) that every graph $G$ on $n$ vertices with size\frac{1}{2}n(k-1)$ contains every tree $T$ of size $k$. Inthis paper, we prove the ...
Motivated by the Milnor fiber of a central arrangement, we study the cohomology of a family of cyclic covers of the complement of an arbitrary arrangement. We give an explicit proof of the polynomial...