In an early study in 1964 of the use of Citation Analysis in writing the history of DNA, Garfield and Sher demonstrated the potential for generating historiographs, topological maps of the most important steps in the history of scientific topics.
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The name topological map is derived from topology, the branch of mathematics that studies the properties of objects that do not change as the object is deformed, much as the tube map retains useful information despite bearing little resemblance to the actual layout of the underground system.
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A somewhat more feasible approach might be to reprogram the plane's flight computers to make it impossible for an aircraft to fly into buildings because the system would direct it to automatically turn away or climb to avoid them ( using altitude measurements or digitized topological maps ).
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The same formula will hold if we project the vertices and edges of the polytope onto a sphere, creating a topological map with " V " vertices, " E " edges, and " F " faces, and in fact, will remain true for any spherical map, even if it does not arise from any convex polytope.
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