topological


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to·pol·o·gy

(tə-pŏl′ə-jē)
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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj. 1. topological - of or relating to topology
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations
topologický
topologisch
topološki
topologisk

topological

adj → topologisch
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007
References in periodicals archive ?
A large number of theories regarding uncertainty with their respective topological structures have been introduced.
Neutrosophic Soft Topological K-Algebras
Recently scientists have gained insight into the topology of the quantum-mechanical behavior of electrons in some materials, says Fisher, and the discovery of topological phases in the electron states of solids has revealed a ubiquitous influence of topology of the properties of various materials.
Topological Semimetals
Summary: TEHRAN (FNA)- A team of researchers has discovered the strongest topological conductor yet, in the form of thin crystal samples that have a spiral-staircase structure.
A New State of Matter
A topological algebra A is a topological linear space over the field K (where K is R or C) with an associative separately continuous multiplication that turns A into an algebra over K.
Topological spectrum of elements in topological algebras
Topological insulator is a state of quantum matter with insulating bulk states like an ordinary insulator and highly conducting and massless spin-helical surface states on its surface [1-7].
PMMA Sandwiched [Bi.sub.2][Te.sub.3] Layer as a Saturable Absorber in Mode-Locked Fiber Laser
Topological field theories have been introduced by Witten [1] and soon after applied in several areas that describe quantum-mechanical and quantum field-theoretical systems.
Topological Gravity on (D, N)-Shift Superspace Formulation
In this paper, we consider topological derivative [1] based imaging technique for thin, curve-like penetrable electromagnetic inhomogeneity with small thickness.
Topological Derivative for Imaging of Thin Electromagnetic Inhomogeneity: Least Condition of Incident Directions
A topological index is a numerical parameter of a graph and depicts its topology.
M-Polynomials and Degree-Based Topological Indices of Triangular, Hourglass, and Jagged-Rectangle Benzenoid Systems
Most dynamical systems are considered chaotic depending on the either the topological or metric properties of the system.
A Study of Chaos in Dynamical Systems
For a Tychonoff space X, we denote by L(X), V(X), F(X), and A(X) the free locally convex space, the free topological vector space, the free topological group, and the free abelian topological group over X, respectively.
Free Subspaces of Free Locally Convex Spaces

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