搜索结果: 91-105 共查到“知识库 拓扑学”相关记录645条 . 查询时间(1.246 秒)
Topologizing Rings of Map Germs: An Order Theoretic Analysis of Germs via Nonstandard Methods
map germ topology nonstandard
2012/6/19
Using nonstandard analysis we define a topology on the ring of germs of functions: $(mathbb R^n,0)\rightarrow(mathbb R,0)$. We prove that this topology is absolutely convex, Hausdorff, that convergent...
Symplectic 4-manifolds with fixed point free circle actions
Symplectic 4-manifolds point free circle actions Geometric Topology
2012/6/19
We show that recent results of Friedl-Vidussi and Chen imply that a symplectic manifold admits a fixed point free circle action if and only if it admits a symplectic circle action and we give a comple...
Large self-injective rings and the generating hypothesis
Large self-injective rings the generating hypothesis Algebraic Topology
2012/6/9
We construct a number of different examples of non-Noetherian graded rings that are injective as modules over themselves (or have some related but weaker properties). We discuss how these are related ...
Topological complexity of motion planning in projective product spaces
Topological complexity product projective spaces Euclidean immersions of manifolds generalized axial maps
2012/6/14
We study Farber's topological complexity (TC) of Davis' projective product spaces (PPS's). We show that, in many non-trivial instances, the TC of PPS's coming from at least two sphere factors is (much...
Signatures of surface bundles and Milnor Wood inequalities
Signatures of surface bundles Milnor Wood inequalities Geometric Topology
2012/6/14
Let E be a surface bundle over a surface. We use a variant of the Milnor Wood inequality to show that $|3\sigma(E)|\leq \chi(E)$.
On the algebraic K-theory of truncated polynomial algebras in several variables
algebraic K-theory truncated polynomial algebras several variables Algebraic Topology
2012/6/14
We consider the algebraic K-theory of a truncated polynomial algebra in several commuting variables, K(k[x_1, ..., x_n]/(x_1^a_1, ..., x_n^a_n)). This naturally leads to a new generalization of the bi...
Topological and uniform structures on universal covering spaces
Universal covering maps uniform structures Algebraic Topology
2012/6/7
We discuss various uniform structures and topologies on the universal covering space $\widetilde X$ and on the fundamental group $\pi_1(X,x_0)$. We introduce a canonical uniform structure $CU(X)$ on a...
We introduce a variant of the slice spectral sequence which uses only regular slice cells, and state the precise relationship between the two spectral sequences. We analyze how the slice filtration of...
流形上的旋度公式证明和计算实例[2012英文版]
微积分学 拓扑学 物理学 向量场
2015/6/3
用符号逻辑的方式,证明在无穷多个任意参数曲面坐标系[包括包括单连通曲面坐标系和复连通曲面坐标系]旋度公式的存在,将空间环路积分和曲面积分推广到无穷多个任意参数曲面坐标系, 实现任意曲面积分, 实现向量场(电场、磁场、流体场、引力场等)在任意自由空间区域(闭合路径、曲面)的积分计算,实现流形上的旋度公式和工程意义上的流形积分.
用符号逻辑的方式,证明在无穷多个（平面）任意单连通闭合曲线坐标系[包括正交曲线坐标系和非正交曲线坐标系] Green 公式的存在, 将二重积分推广到无穷多个任意单连通闭合曲线坐标系,实现任意平面区域二重积分,实现向量场(平面电场、平面磁场、平面流体场等) 和数量场在任意自由平面区域的积分计算, 实现流形上的Green 公式和工程意义上的流形积分.
流形上的Green公式和式极限证明和计算实例[2012英文版]
微积分学 拓扑学 物理学 向量场 数量场 单连通闭合曲线坐标系(平面) 流形上的Green公式 工程意义上的流形积分 和式极限 证明 计算实例
2015/6/3
用符号逻辑/和式极限的方式, 证明在无穷多个任意单连通闭合曲线坐标系 [包括正交曲线坐标系和非正交曲线坐标系]Green公式的存在,将二重积分推广到无穷多个任意单连通闭合曲线坐标系,实现任意平面区域二重积分,实现向量场(平面电场、平面磁场、平面流体场等)和数量场在任意自由平面区域的积分计算,实现流形上的Green公式和工程意义上的流形积分.
The sutured Floer polytope and taut depth one foliations
sutured Floer polytope taut depth one foliations Geometric Topology
2012/5/25
For closed 3-manifolds Ozsv\'ath and Szab\'o, Ni, and Hedden show that there exists a certain duality between an appropriate flavour of the Heegaard Floer polytope and the Thurston norm unit ball. For...
On Lusternik-Schnirelmann Category of Connected Sums
Lusternik-Schnirelmann Category of Connected Sums Algebraic Topology
2012/5/9
In this paper we estimate the Lusternik-Schnirelmann category of the connected sum of two manifolds through their categories. We achieve a more general result regarding the category of a quotient spac...
We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.
Equivariant topological complexity
Equivariant LS-category equivariant sectional category equivariant topological complexity
2012/5/9
We define and study an equivariant version of Farber's topological complexity for spaces with a given compact group action. This is a special case of the equivariant sectional category of an equivaria...