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The result often known as Joiner’s lemma is funda-mental in understanding the topology of the free topological group F(X) on a Tychonoff space X.
Let V be a quasi-projective algebraic variety over a non-archimedean valued field. We introduce topological methods into the model theory of valued fields, define an analogue “V of the Berkovich analy...
We investigate how Viro’s integral calculus applies for the study of the topology of stable maps. We also discuss several applications to Morin maps and complex maps.
We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few in...
Low multipole amplitudes in the Cosmic Microwave Background CMB radiation can be explained by selection rules from the underlying multiply-connected homotopy. We apply a multipole analysis to the harm...
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 ...
We study a network of three populations of coupled phase oscillators with identical frequencies. The populations interact nonlocally, in the sense that all oscillators are coupled to one another, but ...
Suppose X is a non-singular complex surface defined over \R, which is a complete intersection constructed by the method of a small perturbation, and Y=X/\conj is its quotient by the complex conjugatio...
A topological structure is introduced that seems likely to provide a complete topological characterization of compact symplectic manifolds. The article begins with a leisurely introduction to symplect...
We study a simple exchange model in which price is fixed and the amount of a good transferred between actors depends only on the actors' respective budgets and the existence of a link between transact...
K-Theory, C*-algebras and Topology of Manifolds(K-理论,C*-代数和流形上的拓扑学术会议)。
In [10, 11, 12] a new graph topology $\tau$ was introduced which is useful in applications to differential equations. In this paper we study topological properties of $\tau$ and relations between $\ta...
In topology optimization problems, we are often forced to deal with large-scale numerical problems, so that the domain decomposition method occurs naturally. Consider a typical topology optimization p...
A method is proposed to generate an isolation for a plane curve, which is a set of boxes covering the curve, having the same topology as the curve, and approximating the curve to any given precision. ...
Topology Atlas     Topology Atlas       2008/1/11
low-dimensional topology; the topology of manifolds; knot theory; algebraic topology; differential topology; piecewise-linear topology; general topology; set-theoretic topology; geometric topology; co...

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