搜索结果: 1-15 共查到“知识库 拓扑学 Topology”相关记录37条 . 查询时间(0.156 秒)
An interesting example of a compact Hausdorff space that is often presented in beginning courses in topology is the unit square [0, 1]× [0, 1] with the lexicographic order topology. The closed subspac...
USING LATTICE TOPOLOGY INFORMATION TO INVESTIGATE PERSISTENT SCATTERERS AT FACADES IN URBAN AREAS
High resolution SAR Urban Pattern Data Fusion
2014/4/24
Modern spaceborne SAR sensors like TerraSAR-X offer ground resolution of up to one meter in range and azimuth direction. Buildings, roads, bridges, and other man-made structures appear in such data of...
Topology of probability measure spaces, II
Topology of probability measure spaces General Topology
2012/6/29
This paper is a follow-up to the author's work "Topology of probability measure space, I" devoted to investigation of the functors $\hat P$ and $P_\tau$ of spaces of probability $\tau$-smooth and Rado...
$Top(X)$ within $\px$ ]{When lattices meet topology: $Top(X)$ within $\px$.}
$Top(X)$ within $\px$ lattices meet topology
2012/2/29
For a non-empty set $X$, the collection $Top(X)$ of all topologies on $X$ sits inside the Boolean lattice $\PP(\PP(X))$ (when ordered by set-theoretic inclusion) which in turn can be naturally identif...
Nonstandard Analysis in Topology
nonstandard extension monad transfer principle saturation principle nonstandard hull compactifications realcompactification
2011/9/13
Abstract: We present Nonstandard Analysis by three axioms: the {\em Extension, Transfer and Saturation Principles} in the framework of the superstructure of a given infinite set. We also present sever...
Minimizing Average Interference through Topology Control
Wireless Sensor Networks Interference Minimization Topology Control Combinatorial Optimization
2012/12/4
Reducing interference is one of the main challenges in wireless communication. To minimize interference through topology control in wireless sensor networks is a well-known open algorithmic problem. I...
Self-intersections in combinatorial topology: statistical structure
closed curves surfaces self-intersection central limit theorem Markov chain
2011/1/17
Oriented closed curves on an orientable surface with boundary are described up to continuous deformation by reduced cyclic words in the generators of the fundamental group and their inverses.
Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure.
The new $\nu$-metric induces the classical gap topology
-metric robust control Banach algebras.
2011/1/17
Let A+ denote the set of Laplace transforms of complex Borel measures μ on [0,+1) such that μ does not have a singular non-atomic part. In [1], an extension of the classical -metric of Vinnicombe was...
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...