搜索结果: 16-30 共查到“拓扑学 Topology”相关记录54条 . 查询时间(0.441 秒)
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...
The coupling of topology and inflation in Noncommutative Cosmology
coupling of topology inflation Noncommutative Cosmology
2011/3/2
We show that, in a model of modi ed gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and in ation, in the sense that the shape of the possible sl...
Network topology and collapse of collective stable chaos
Network topology collapse of collective stable chaos
2010/12/28
Collective stable chaos consists of the persistence of disordered patterns in dynamical spatiotem-poral systems possessing a negative maximum Lyapunov exponent. We analyze the role of the topology of ...
Strictly convex norms and topology
Continuum hypothesis descriptive fragmentable Gruenhage space
2011/2/28
We introduce a new topological property called (∗) and the corre-sponding class of topological spaces, which includes spaces with G-diagonals and Gruenhage spaces.
The Cleavage Operad and String Topology of Higher Dimension
Cleavage Operad String Topology of Higher Dimension
2011/2/24
In [Vor05], Voronov gave life to the Cacti operad: An operad whose homology acts on the shifted homology of the free loop space over a compact, smooth orientable manifold M – HpMS1q– giving it the st...
Homotheties and topology of tangent sphere bundles
tangent sphere bundle isometry characteristic classes
2011/2/22
We prove a Theorem on homotheties between two given tangent sphere bundles SrM of a Riemannian manifold M, g, assuming different variable radius functions r and weighted Sasaki metrics induced just by...
Green functions, the fine topology and restoring coverings
Harmonic measure Jensen measures Subharmonic functions
2011/2/22
There are several equivalent ways to define continuous harmonic functions H(K) on a compact set K in Rn. One may let H(K) be the unform closures of all functions in C(K) which are restrictions of harm...
The Topology of Scaling Limits of Positive Genus Random Quadrangulations
Topology of Scaling Limits Positive Genus Random Quadrangulations
2011/2/22
We discuss scaling limits of large bipartite quadrangulations of positive genus. For a given g,
we consider, for every n 1, a random quadrangulation qn uniformly distributed over the set
of all ro...
Topology optimization in Bernoulli free boundary problems
Topology optimization Bernoulli free boundary problems
2011/1/19
In this work we consider topology optimization of systems, which are governed by the external
Bernoulli free boundary problem. We utilize the so-called pseudo-solid approach to solve the
governing f...
Measuring Shape with Topology
Measuring Shape Topology math
2010/11/15
We propose a measure of shape which is appropriate for the study of a complicated geometric structure, defined using the topology of neighborhoods of the structure. One aspect of this measure gives a...
Higher Whitehead products in toric topology
Higher Whitehead products in toric topology math
2010/11/15
In this paper we study the relationship between the moment-angle complex Z_k and the Davis-Januskiewicz space DJ(K) for a class of complexes K named missing-face complexes. If K has n vertices we con...
In this exposition the space of at most 3-element subsets of the circle, first identified by Borsuk and Bott, is used as a motivation to introduce the readers to a variety of methods in (algebraic) to...
On the topology of free paratopological groups
Paratopological group free paratopological group
2010/12/1
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.
Non-archimedean tame topology and stably dominated types
Non-archimedean tame topology stably dominated types
2010/11/26
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.