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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars:Computations in equivariant algebraic topology
等变 代数拓扑 计算
2023/5/17
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...
Some Properties of the Schur Multiplier with Algebraic Topological Approach
Schur multiplier Homotopy group Homology group
2011/2/21
In this paper, using a relationship between the Schur multiplier of a group G, the fundamental group, and the second homology group of the Eilenberg-MacLane space of G, we present new proofs for some ...
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...
A covariant functor from fibrations over the circle to a family of AF-algebras is constructed; the functor takes continuous maps be-tween such fibrations to stable homomorphisms of the AF-algebras.We ...
Analytic and algebraic conditions for bifurcations of homoclinic orbits I: Saddle equilibria
Homoclinic orbit bifurcation Differential Galois theory Melnikov method
2010/11/30
We study bifurcations of homoclinic orbits to hyperbolic saddle equilibria in a class of four-dimensional systems which may be Hamil-tonian or not. Only one parameter is enough to treat these types of...
AGT is a fully refereed journal covering all of topology, understood broadly. AGT is published in free electronic format by Geometry & Topology Publications, with papers appearing a few days after acc...
Determining the Topology of Real Algebraic Surfaces
Determining Topology Real Algebraic Surfaces
2013/9/9
An algorithm is proposed to determine the topology of an implicit real algebraic surface inR3. The algorithm consists of three steps:surface projection,projection curve topology determination and surf...