# topology

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## to·pol·o·gy

(tō-pol'ŏ-jē),
1. Synonym(s): regional anatomy
2. The study of the dimensions of personality.
[topo- + G. logos, study]

## topology

(tə-pŏl′ə-jē)
n. pl. topolo·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.

to·pol′o·gist n.

## topology

(tō-pŏl′ō-jē)
1. In obstetrics, the relationship of the presenting fetal part to the pelvic outlet.
2. In mathematics, the study of the relationships between objects that share a surface or a common border.
References in periodicals archive ?
Then H is called a single-valued neutrosophic topological K-algebra over K if the self map pa : (H, [[chi].sub.H]) [[rho].sub.a] (H, [[chi].sub.H]) for all a [member of] K, defined as [[rho].sub.a](s) = s [dot circle] a, is relatively single-valued neutrosophic continuous.
Several of the hotly studied topological materials to date are known as topological insulators.
Let A be a topological algebra and x [member of] A.
The application of these techniques to data is aptly named topological data analysis (TDA).
Balents, "Topological invariants of time-reversal- invariant band structures," Physical Review B: Condensed Matter and Materials Physics, vol.
The topological supersymmetrization of Yang-Mills  and BF-theories by adopting the shift formalism [10-13] provide a viable way to their extension to any superspace dimensions, with the Wess-Zumino supergauge choice  used in connection with the Batalin-Vilkovisky prescription.
In Section 2, we survey two-dimensional direct scattering problem and topological derivative based imaging technique.
Many papers and books such as [21-23] are written on this topological index as well.
For autonomous systems in compact metric space, topological entropy is commutative for composite functions such that h(f [omicron] g) = h(g [omicron] f) .
If K is a finite-dimensional metric compact space, then L(K) is embedded in L(0) as a topological vector space.
As the developed methods for improving the interoperability and compatibility of data by combining spatial data with other data of different formats, there are three approaches: a data fusion method using geometric data conversion, a data fusion method based on visualization, and recently proposed geospatial data fusion methods based on topological relations of spatial objects.

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