Y . Hattori 2010 . " Order and topological structures of posets of the formal balls on metric spaces " . " Memoirs of the Faculty of Science and Engineering.
22.
SALSA is less vulnerable to the Tightly Knit Community ( TKC ) effect than HITS . A TKC is a topological structure within the Web that consists of a small set of highly interconnected pages.
23.
In general, the concept of distance is of practical interest for applications, while topological structure is needed for Palm distributions, meaning that point processes are usually defined on mathematical spaces with metrics.
24.
Certainly the discrete metric space is free when the morphisms are all uniformly continuous maps or all continuous maps, but this says nothing interesting about the metric structure, only the uniform or topological structure.
25.
More generally, a point is an element of any set with an underlying topological structure; e . g . an element of a metric space or a topological group is also a " point ".
26.
In physics, a spin foam is a topological structure made out of two-dimensional faces that represents one of the configurations that must be summed to obtain a Feynman's path integral ( functional integration ) description of quantum gravity.
27.
The topological structure of maximal lattice free convex bodies : the general case ( with I . B�r�ny and D . F . Shallcross ), 1998, in Mathematical Programming, Vol . 80, No . 1, pp . 1 15.
28.
Since each iteration of the generalized solution proceeding toward a minimum cost objective has a new assignment of products to machines, the topological structure of loops and chains at the beginning of an iteration is broken, and a new such structure is produced.
29.
The notion of closed set is defined above in terms of open sets, a concept that makes sense for topological spaces, as well as for other spaces that carry topological structures, such as metric spaces, differentiable manifolds, uniform spaces, and gauge spaces.
30.
Even though the topological structure of Fr�chet spaces is more complicated than that of Banach spaces due to the lack of a norm, many important results in functional analysis, like the Hahn Banach theorem, the open mapping theorem, and the Banach Steinhaus theorem, still hold.
