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“topology”
topology
1. The art of, or method for, assisting a person's memory by associating the thing or subject to be remembered with some place.
2. In mathematics: A branch of math that deals with shapes; sometimes describes as geometry without the details.
3. Topographic study of a given place, especially the history of a region as indicated by its topography.
4. In medicine: The anatomical structure of a specific area or part of the body.
5. Computer Science: The arrangement in which the nodes of a LAN are connected to each other.
2. In mathematics: A branch of math that deals with shapes; sometimes describes as geometry without the details.
To a topologist, a sphere, a cigar, and a rabbit's head are all the same because they can be deformed into one another. In addition, a coffee mug and a doughnut are also the same because each has one hole, but they are not equivalent to a sphere.
Topology emerged as part of geometry which did away with metric properties of shapes, angles, and distances. For example, topologically, a sphere and a cube are one and the same object since one can be transformed continuously (i.e. with no cutting nor tearing) into another. Therefore, it is so much more remarkable that number invariants are still used to characterize topological objects.
4. In medicine: The anatomical structure of a specific area or part of the body.
5. Computer Science: The arrangement in which the nodes of a LAN are connected to each other.
This entry is located in the following units:
-ology, -logy, -ologist, -logist
(page 76)
topo-, top-, -topia, -topy, -topism, -topic
(page 4)
Word Entries containing the term:
“topology”
combinatorial topology
1. The study of polyhedrons, simplicial complexes, and generalizations of these.
2. The branch of topology used to study simple components of geometric forms.
2. The branch of topology used to study simple components of geometric forms.
This entry is located in the following unit:
-ology, -logy, -ologist, -logist
(page 16)