topologically


Also found in: Thesaurus, Medical, Encyclopedia, Wikipedia.

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.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adv.1.topologically - from the point of view of topology
References in periodicals archive ?
All data are topologically structured, and each coverage contains a set of files that describes the features in that thematic layer.
The interior of these disk-shaped single-bilayer structures thus provides an environment for guest proteins that is topologically and chemically similar to that of cell membranes.
Most present algorithms can only morph between topologically similar shapes of which an obvious one-to-one mapping can be easily found between the source and the target.
Throughout the eighties, Cooke maintained close contact with the Census Bureau, who wanted to migrate the DIME files to a more robust computer mapping system, referred to as TIGER -- Topologically Integrated Geographic Encoding and Referencing.
Topological spaces T1 and T2 are said to be homeomorphic, or topologically equivalent if there is a mapping f from T1 on to T2 which is one-to-one and such that both that f and its inverse f1 are continuous.
The structure of divisions produced by the Division Functions and the partnership relation among processors give place to communication patterns among processors that are topologically similar to a hypercube.
To a topologist this makes them fundamentally the same, while a no-hole muffin or a three-hole pretzel would be topologically distinct.
The high degree of conservation is exemplified by the invariant classification of AARSs into one of two classes defined by the presence of characteristic amino acid sequence motifs and topologically distinct nucleotide binding folds (8).
The polymorphic forms of a mineral are regarded as different species if their structures are topologically different.
Their schematics of the electric utility infrastructure were topologically correct but, essentially, had no representation on the ground.
If, however, S is topologically nontrivial, then the reduced phase space has a more complex structure (see below).
Each block is to be equivalent topologically to a cube and meshed.

Full browser ?