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The ground state degeneracy of an SU(N)k topological phase with n quasiparticle excitations is
relevant quantity for quantum computation, condensed matter physics, and knot theory. It is an
open que...
Complex Conjugation Equivariant Topology of Complex Surfaces
Equivariant Topology Complex Surfaces
2010/3/5
Suppose X is a non-singular complex surface defined over \R, which is a complete intersection constructed by the method of a small perturbation, and Y=X/\conj is its quotient by the complex conjugatio...
An Introduction to Topological Quantum Field Theories
Topological Quantum Field Theories Introduction
2010/3/5
An Introduction to Topological Quantum Field Theories。
Abelian fibred holomorphic symplectic manifolds
holomorphic symplectic manifold abelian varieties elliptic fibration
2010/3/1
We study holomorphic symplectic manifolds which are fibred by abelian varieties. This structure is a higher dimensional analogue of an elliptic fibration on a K3 surface. We investigate when a holomor...
紧性与全聚点关系的推广
全聚点 紧性
2008/12/11
本文将紧性与全聚点存在的关系分别向可数紧和_α—紧:Lindelf性质和_α—Lindelof性质两个方面加以推广,并利用这种关系给出了Tychonoff定理的一个新证法。最后从Lindelof性质和全聚点的关系中引出一个在序拓扑空间中与弱不可达基数的存在性相关的命题。以下用X表示拓扑空间,N(x)表示点x的邻域族,|A|表示集合A的势所对应的基数。
利用ponomarrv's 方法及msss 映射的定义, 研究了广义度量空间中的点可数覆盖问题. 证明了具有σ-局部可数cs* - 网的空间可以刻划成度量空间的序列覆盖映射和强序列覆盖映射下的象, 从而使关于对σ- 局部可数族的讨论趋于完整.
研究了具有三个物种周期的Predator-Prey差分模型,用拓扑度理论讨论了具有无限时滞差分系统的周期正解的存在性,证明了具有无限时滞差分系统的正周期解存在的充分条件为:(ⅰ)r-1a-32-r-3a-12exp(2r-2ω)>0;(ⅱ)r-1a-32-r-3a-12exp(2r-2ω)-r-2a-11a-32exp(2r-1ω)<0;(ⅲ)-a-32a-12r-1+a-32a-11r-2+a-...
在q-开集、q-覆盖的基础上给出一个新的概念—Q-闭空间.拓扑空间(X,T)称为Q-闭空间,如果对于X的每个q-覆盖{Vα|α∈I},存在一个有限子族{Vαi|i=1,2,…,n},它们的闭包的并集为X.
We present a new, more elementary proof of the Freedman-Teichner result that the geometric classification techniques (surgery, s-cobordism, and pseudoisotopy) hold for topological 4-manifolds with gr...
By making use of the complete decomposition of SO(3) spin connection, the topological defect in 3-dimensional Euclidean gravity is studied in detail. The topological structure of disclination is give...
Topology Change and Vector Modules on Noncommutative Surfaces of Rotation
Topology Vector Modules Noncommutative Surfaces of Rotation
2010/10/29
A non associative, noncommutative algebra is defined that may be interpreted as a set of vector modules over a noncommutative surface of rotation. Two of these vector modules are identified with the ...
Earlier an arbitrary poset $P$ was proved to be isomorphic to the collection of subsets of a space $M$ with two closures which are closed in the first closure and open in the other. As a space $M$ fo...
Topological AE(0)-groups
Topological AE(0)-groups
2010/10/29
We investigate topological AE(0) -groups class of which contains the class of Polish groups as well as the class of all locally compact groups. We establish the existence of an universal AE(0) -group ...