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.

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Adv.

topologically - from the point of view of topology

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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

On strongly irregular points of a brouwer homeomorphism embeddable in a flow

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).

Agier, Michel 2008. On the Margins of the World: The Refugee Experience Today

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.

Applications of contact geometry and topology in physics

(2008) have found that map readers' mental maps were qualitatively different (topologically less accurate) when developed while using GPS rather than a traditional map.

Simon Garfield. On the Map: Why the World Looks the Way it Does

These factors led the team to think of creating a metamaterial nanostructure that would allow them to achieve topologically protected darkness.

Detecting in the dark

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).

Building the School Attendance Boundary Information System (SABINS): collecting, processing, and modeling K to 12 educational geography

(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;