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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.
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:
Adv.1.topologically - from the point of view of topology
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in periodicals archive ?
Then the flow {[f.sup.t] : t [member of] R} is topologically conjugate to the flow {[g.sup.t] : t [member of] R} given by (21) if and only if [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN
The refugee camp and the detention centre reflect a materialization of the site of exception, constituting a space topologically different from that of a mere enclosure, for example, a prison, for it at once belongs to the inside and the outside of the normal order (Agamben, 1998, pg 169).
His topics include from ideal magneto-hydrodynamics to string and knot theory, all about and around Woltjer's theorem, topologically massive gauge theories and the force-free fields, contact geometry and physics, and from contact geometry to contact topology.
(2008) have found that map readers' mental maps were qualitatively different (topologically less accurate) when developed while using GPS rather than a traditional map.
These factors led the team to think of creating a metamaterial nanostructure that would allow them to achieve topologically protected darkness.
The primary base layer used to digitize attendance boundaries includes the line features from the Census Bureau 2010 Topologically Integrated Geographic Encoding and Referencing System (TIGER/Line files).
(ii) [T.sub.0]-limit point [20] of A if each open set containing x contains some point y of A such that cl{x} [not equal to] cl{y}, or equivalently, such that they are topologically distinct;
Given a geospatial event topologically represented as a georeferenced punctual, linear, or areal element, an atomic buffer area is constituted by circular areas centered on the element.
To me, these topologically complex, curved forms resulted in bizarre shapes that had associative possibilities that I was really interested in.
The surface of a sphere is topologically different from the surface of a doughnut, because no deformation without tearing will change a sphere into the surface of a doughnut.
The given building footprints, combined with the measured building heights, are used to generate a topologically consistent 3D city model (see Figure 2).
Two of these groups are topologically similar and have rare attractors of a tip kind [P1.sub.1] RA and [P1.sub.3] RA.

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