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n. pl. to·pol·o·gies
1. Topographic study of a given place, especially the history of a region as indicated by its topography.
2. Medicine The anatomical structure of a specific area or part of the body.
3. Mathematics
a. The study of certain properties that do not change as geometric figures or spaces undergo continuous deformation. These properties include openness, nearness, connectedness, and continuity.
b. The underlying structure that gives rise to such properties for a given figure or space: The topology of a doughnut and a picture frame are equivalent.
4. Computers The arrangement in which the nodes of a network are connected to each other.

top′o·log′ic (tŏp′ə-lŏj′ĭk), top′o·log′i·cal (-ĭ-kəl) adj.
top′o·log′i·cal·ly adv.
to·pol′o·gist n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.topological - of or relating to topology


References in periodicals archive ?
Recently, We promoted a new design principle for such materials: Topological band-theory known from quantum condensed matter physics.
Research led by the Universities of St Andrews and Tokyo reveals a new understanding on how to create topological electronic states in solids which could fuel the development of improved materials for fast and energy-efficient electronic devices.
Navalagi [4] presented the idea of semi-[alpha]-open sets in topological spaces.
Topological indices are numerical parameters of a graph which characterize its topology and are usually graph invariant.
In this paper, we present an efficient and effective non-rigid model retrieval method based on topological structure and local volume.
Drawing mostly on his own findings and those of his collaborators, Liu presents a topological approach to combinatorial configurations, in particular graphs, by introducing a new pair of homology and cohomology through polyhedra.
Shabir introduced soft topological spaces and established that every soft topological space induce a parameterized family of topological spaces.
The citation at the awards ceremony in Stockholm said the prize was for "theoretical discoveries of topological phase transitions and topological phases of matter".
They were awarded for their "theoretical discoveries of topological phase transitions and topological phases of matter".
When S is semi-topological, let S : S x X [right arrow] X be a representation of S on a topological space X.
For the study, researchers from Imperial used "a recently discovered class of materials known as topological inhibitors.
Abstract: Topological insulators have surface electrical properties essentially the opposite of the properties inside.