topology

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Related to topologist: topology, topological

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.

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.

topology

[təpol′əjē]
1 orientation of the presenting part of a fetus.
2 the study of special regions of anatomy.
3 the science of properties of geometric configuration.

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 ?
If Whitman is posing as a topologist, he is also showing the topologist's positionality to be--from his own more global vantage--a mere pose.
Like the Euler characteristic, homology works best on shapes built up out of what topologists call simplices, namely, corner points, lines, polygons, and their higher-dimensional analogs--objects that are hard to visualize but can be precisely described using mathematical formulas.
Moreover, topologists have already proved that every eversion must pass through a distorted shape in which at least four sections of the surface meet at one point.
Similarly, topologists, using appropriate invariants, can also examine in greater detail what manifolds look like and how one may be transformed into another.
Topologists emphasize the properties of shapes that remain unchanged, no matter how much the shapes are stretched, twisted or molded so long as they aren't torn or cut.
The new invariant is simple and powerful, and it is surprising that it has eluded topologists for so long," says Ian Stewart of the University of Warwick in England, commenting in the Sept.
Havenel surveys Peirce's topological thought, his interactions with other topologists, his own theories on many classic topological puzzles, and he provides a very helpful lexicon of Peirce's terminology on the subject.
In order to make the proof more attractive to topologists, they reduce much of the analysis aspects to black boxes, sometimes favor topological and geometric arguments to analytic ones, and simplify Perelman's Ricci flow with surgery to Ricci flow with bubbling-off.
In recent years, the decomposition of continuity is one of the main interest for general topologists.

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