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Amphicheiral links with special properties, I
algebraically split link amphicheiral link invertible link Alexander polynomial Reidemeister torsion
2011/8/23
Abstract: We provide necessary conditions for the Alexander polynomials of algebraically split component-preservingly amphicheiral links. We raise a conjecture that the Alexander polynomial of an alge...
On $L^p$ inequality for differential forms and $L^p$ cohomology of a semialgebraic set for $p>>1$
differential forms semialgebraic set Geometric Topology
2011/8/23
Abstract: We study Poincar\'e type $L^p$ inequality on a compact semialgebraic subset of $\R^n$ for $p>>1$. First we derive a local inequality by using a Lipschitz deformation retraction with estimate...
Topological classification of zero-dimensional $M_\omega$-groups
Topological classification zero-dimensional
2010/11/23
A topological group $G$ is called an $M_\omega$-group if it admits a countable cover $\K$ by closed metrizable subspaces of $G$ such that a subset $U$ of $G$ is open in $G$ if and only if $U\cap K$ i...
On the topology of free paratopological groups
Paratopological group free paratopological group
2010/12/1
The result often known as Joiner’s lemma is funda-mental in understanding the topology of the free topological group F(X) on a Tychonoff space X.
Half-balanced braided monoidal categories and Teichmueller groupoids in genus zero
Half-balanced braided monoidal categories Teichmueller groupoids in genus zero
2010/12/6
We introduce the notions of a half-balanced braided monoidal category and of its contraction. These notions give rise to an explicit description of the action of the Galois group of Q on Teichm¨uller ...
Dynamic Adaptive Mesh Refinement for Topology Optimization
Dynamic Adaptive Mesh Refinement Topology Optimization
2010/12/13
We present an improved method for topology optimization with both adaptive mesh refinement and
derefinement. Since the total volume fraction in topology optimization is usually modest, after a few in...
得到局部$G$-凸一致空间上具有$S$-KKM性质的集值映射的新的几乎不动点定理和不动点定理.我们的结果对已有文献中的相应结论进行了改进和一般化.
A new technique is proposed for the analysis of shape optimization problems. The technique uses the asymptotic analysis of boundary value problems in singularly perturbed geometrical domains. The asym...