topological property

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topological property

[¦täp·ə¦läj·ə·kəl ′präp·ərd·ē]
(mathematics)
A property that holds true for any topological space homeomorphic to one possessing the property.
References in periodicals archive ?
Also, while the topological properties observed in rhodium-silicon and cobalt-silicon crystals in the latest study are considered ideal, there are many other materials that have been identified that could be studied to gauge their potential for improved performance for real-world applications, Hasan said.
"as a msc fellow i will work on the investigation of non-perturbative and topological properties of strong interactions and beyond.
The second half of the book examines weak convergences of measures on topological spaces, the sequences of measures, and the topological properties of spaces of measures on topological spaces connected with other properties of the spaces on which measures are defined.
Overall, these results confirm the inherent robustness of the proposed mechanism to control and reconfigure the radiation of these antenna elements, inherently associated with their topological properties.
Many topological properties of [P.sub.n](l) are already known: First, it is clear that there is a homeomorphism
Since the mappings in all two examples are conjugated topologically, they share the same topological properties. Hence if any of the mappings is identified with any topological property, we can as well associate the other mapping with the same property and vice versa.
Manzoor, "On molecular topological properties of dendrimers," Canadian Journal of Chemistry, vol.
The local topological properties of an iWordNet include vertices (nodes, words, etc.), degrees, clusters, betweenness centrality, closeness centrality, eigenvalue centrality, PageRank, geodesic distance, and "top items." The global topological properties include number of vertices, number of edges, number of components, number of clusters, clustering coefficient, mean geodesic distance, mean closeness centrality, mean closeness centrality, number of unique edges, graph density, and any variables derived from these variables.
2014), allowing to interpret many topological concepts through numeric values provided by such associated functions, which is really important if we want to mechanize the verification of topological properties on subsets of an arbitrary finite space.
The analysis of topological properties of stock market network has led to new insights (Anton et al.
Recent research has suggested that graph-based network analysis is a powerful method that allow us to quantifying the organization of brain connectivity and characterize topological properties of brain networks by mapping the brain as a functional or structural networks consisting of nodes (i.e., brain regions or voxels) and edges (i.e., functional or structural connectivity between regions).
In the same paper Alas, Tkachuk and Wilson considered topological properties that are discretely reflexive in compact spaces.

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