搜索结果: 1-12 共查到“知识库 同伦论”相关记录12条 . 查询时间(2.324 秒)
E0互补问题的变形凝聚同伦算法
互补问题 凝聚函数 同伦算法 E0映射
2014/1/8
利用变形凝聚函数构造同伦方程, 给出了同伦路径的存在性、 有界性及收敛性的构造性证明, 并利用数值算例验证了变形凝聚同伦算法求解互补问题可行、 有效.
On the existence of exotic homotopy 3-spheres
Homotopy spheres 3-manifold topology Morse theory
2011/1/17
This paper gives a geometric topological proof that exotic ho-motopy 3-spheres do not exist.
Geometry of Topological Defects of Two-dimensional Sigma Models
Geometry of Topological Defects Two-dimensional Sigma Models
2010/12/16
A topological defect separating a pair of two-dimensional CFTs is a codimension one interface along which all components of the stress-energy tensor glue continuously. We study topological defects of ...
Brauer-Manin pairing, class field theory and motivic homology
Brauer group abelian fundamental group Wiesend’s ideal class group
2010/12/9
For a smooth proper variety over a p-adic field, the Brauer group and abelian fundamental group are related to the higher Chow groups by the Brauer-Manin pairing and the class field theory. We general...
On H-groups and their applications to topological homotopy groups
H-group sub-H-group loop space Topological homotopy
2010/12/13
This paper develops a basic theory of H-groups. We intro-duce a special quotient of H-groups and extend some algebraic construc-tions of topological groups to the category of H-groups and H-maps. We u...
Tensor products of homotopy Gerstenhaber algebras
products homotopy Gerstenhaber algebras
2010/11/30
On the tensor product of two homotopy Gerstenhaber algebras we construct a Hirsch algebra structure which extends the canonical dg algebra structure. Our result applies more generally to tensor produc...
Bar-cobar duality for operads in stable homotopy theory
Bar-cobar duality stable homotopy theory
2010/12/13
We extend bar-cobar duality, defined for operads of chain complexes by Getzler and Jones, to operads of spectra in the sense of stable homotopy theory. Our main result is the existence
of a Quillen e...
The homotopy theory of function spaces: A survey
Function space monoid of self-equivalence free loop space
2010/11/30
We survey research on the homotopy theory of the space map(X, Y )consisting of all continuous functions between two topological spaces. We summarize progress on various classification problems for the...
Higher topological complexity and homotopy dimension of configuration spaces on spheres
Lusternik-Schnirelmann category Schwarz genus topological complexity configuration spaces hyperplane arrangements
2010/12/3
In the paper “On Higher Analogs of Topological Complexity”Yu. Rudyak introduced the concept of TCn(X), the nth topological complexity of a path-connected space X. This concept was developed as a gener...
关于同伦满态与覆叠空间
同伦满态 同伦推出 覆叠空间 升腾
2007/12/12
本文在点标道路连通CW空间的同伦范畴中，利用同伦推出示性了同伦满态，得出了若$f:X\rightarrowY$是同伦满态，则对$\pi_1Y$的任一正规子群H，升腾映射$\tilde{f}:\tilde{X}_{(f_\#^{-1})}\rightarrow\tilde{Y}_{(H)}$也是同伦满态．
关于链同伦前伸的注记
2007/12/12
首先,本文在链复形和链映射范畴dA中证明了各种同伦扩张性质(HEP,WHEP,RWHEP与VWHEP)是等价的.这不同于拓扑空间和连续映射范畴Top.其次,在范踌dA中也有Puppe序列,本文证明了约化奇异链函子保持Puppe序列的右正合性.最后,与范畴Top相类似,在链同伦前伸方块中一个链同伦等价诱导出另一个链同伦等价.