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Related to topological: topological space, Topological group, Topological order, Topological structure


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 ?
Let (X,t ) be a topological space and G be a grill on X .
a leading global provider of technology and services that empower client innovation and decision-making, today announced that Airbus, one of the world's leading aircraft manufacturers, has chosen Altair's OptiStruct advanced topological optimization software for the A350XWB program.
A general topological space X is said to be finitistic if each open cover of X has finite order open refinement [10].
Gehry, Daniel Libeskind, Neil Spiller, Marcos Novak and Brian Massumi, is more precisely described by Giuseppa Di Cristina's editorial essay, 'The Topological Tendency in Architecture'.
Most of Clark's subsequent work unfolds from the Caminbando, but the fact that its material is a topological figure - a plane that has no reverse side, no recto or verso - ties it to her previous production as well.
Objective: The project addresses quantum devices in hybrid systems formed using carbon nanotubes, graphene, and 3He superfluid, all with particular topological characteristics.
Throw some electrons onto the surface of a topological insulator and they seemingly become invincible, effortlessly bypassing obstructions along their route.
Among the topics are coincidence and fixed points of fuzzy mappings, topological monads from functional quasi-uniformities, topological entropy and algebraic entropy for group endomorphisms, some problems in isometrically universal spaces, and the topological vector space of continuous functions with the weak set-open topology.
Summary: TEHRAN (FNA)- Contributing geometric and topological analyses of micro-materials, University of Massachusetts Amherst mathematician Robert Kusner aided experimental physicists at the University of Colorado (UC) by successfully explaining the observed "beautiful and complex patterns revealed" in three-dimensional liquid crystal experiments.
M [4] Let (X, tau]) be a topological space and G be a grill on X.
Papers from a recent conference expand on the author's 2008 NSF-CBMS lectures on knots and topological quantum computing.