搜索结果: 1-9 共查到“代数拓扑学 Topological”相关记录9条 . 查询时间(0.156 秒)
Multidimensional Interleavings and Applications to Topological Inference
Multidimensional Interleavings Topological Inference Algebraic Topology
2012/6/27
This work concerns the theoretical foundations of persistence-based topological data analysis. We develop theory of topological inference in the multidimensional persistence setting, and directly at t...
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...
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...
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...
On the Wu classes of the topological blow up
Wu class Steenrod operation Topological blow up
2011/8/26
Abstract: We mainly discuss the Wu classes $v(M)$ and the Steenrod operation $Sq$ of the topological blow up $\tilde{M}$. The formula of the Wu class $v(\tilde{M})$ will be given as well as the formul...
Topological rigidification of schemes
universal homeomorphism h topos topological rigidity
2011/1/19
We show that any of a large class of schemes receives a universal homeomorphism from a reduced scheme that in turn receives no nontrivial universal homeomorphism from any other reduced scheme. This co...
Variational principles for topological entropies of subsets
Topological entropies Measure-theoretical entropies
2011/1/18
Let (X, T ) be a topological dynamical system. We define the measure-theoretical lower and upper entropies hμ(T ), hμ(T ) for any μ ∈ M(X), where M(X) denotes the collection of all Borel probability m...
Defining and Computing Topological Persistence for 1-cocycles
Topological Persistence 1-cocycles
2011/2/22
The concept of topological persistence, introduced recently in computational topology, finds applications in studying a map in relation to the topology of its domain. Since its introduction, it has be...
Traces of Maximal Ideals of Topological Algebras in Their Subalgebras
Topological algebras Gelfand-Mazur algebras locally pseudoconvex algebras galbed algebras traces of ideals in subalgebras
2010/2/26
Let K be one of the fields R or C, A a topological associative algebra over K with separately continuous multiplication, B a subalgebra of A and M a closed maximal regular left (right or two-sided) id...