搜索结果: 61-75 共查到“代数拓扑学”相关记录92条 . 查询时间(5.401 秒)
Abstract: In this paper we prove that the inductive cocategory of a nilpotent $CW$-complex of finite type $X$, $\indcocat X$, is bounded above by an expression involving the inductive cocategory of th...
On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
2011/9/9
Abstract: We study homological structure of the filtrations of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional co...
Abstract: Let $\Lambda=\Bbb Z[t,t^{-1}]$ be the ring of Laurent polynomials over $\Bbb Z$. We classify all $\Lambda$-modules $M$ with $|M|=p^n$, where $p$ is a primes and $n\le 4$. Consequently, we ha...
A tight colored Tverberg theorem for maps to manifolds
colored Tverberg theorem manifolds Combinatorics Algebraic Topology
2011/9/1
Abstract: We prove that any continuous map of an N-dimensional simplex Delta_N with colored vertices to a d-dimensional manifold M must map r points from disjoint rainbow faces of Delta_N to the same ...
Constructing a broken Lefschetz fibration of S^4 with a spun or twist-spun torus knot fiber
broken Lefschetz fibration twist-spun torus knot fiber Algebraic Topology
2011/8/31
Abstract: Much work has been done on the existence and uniqueness of broken Lefschetz fibrations such as those by Auroux et al., Gay and Kirby, Lekili, Akbulut and Karakurt, Baykur, and Williams, but ...
n-Nilpotent Obstructions to pi_1 Sections of P^1-{0,1,infty} and Massey Products
Massey products Group/Galois cohomology Section conjecture Lower central series
2011/8/31
Abstract: Let pi be a pro-l completion of a free group, and let G be a profinite group acting continuously on pi. First suppose the action is given by a character. Then the boundary maps delta_n: H^1(...
On resolutions of diagrams of algebras
diagrams of algebras Algebraic Topology K-Theory and Homology
2011/8/29
Abstract: We prove a restricted version of a conjecture by M. Markl on resolutions of an operad describing diagrams of algebras. We discuss a particular case related to the Gerstenhaber-Schack diagram...
Disclination Loops, Hedgehogs, and All That
Disclination Loops Hedgehogs Algebraic Topology
2011/9/29
Abstract: The homotopy theory of topological defects is a powerful tool for organizing and unifying many ideas across a broad range of physical systems. Recently, experimental progress has been made i...
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...
Stochastic Homology. Reduction Formulas for Computing Stochastic Betti Numbers of Maximal Random Complexes with Discrete Probabilities. Computation and Applications
Stochastic Homology Stochastic Betti Numbers Maximal Random Complexes Algebraic Topology
2011/8/25
Abstract: Given a chain complex with the only modi?cation that each cell of the complex has a probability distribution assigned. We will call this complex - a random complex and what should be underst...
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...
The cycolotomic polynomial topologically
Cyclotomic polynomial higher-dimensional tree matroid duality
2011/1/19
We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.
On the topology of semi-algebraic functions on closed semi-algebraic sets
topology of semi-algebraic functions closed semi-algebraic sets
2011/1/20
We consider a closed semi-algebraic set X Rn and a C2 semi-algebraic function f : Rn ! R such that f|X has a finite number of critical points. We relate the topology of X to the topology of the sets...
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...