Topology is the study of the connectivity of shapes, surfaces, and networks. For example, a ball and a bowl have the same connectivity to a topologist, but a coffee cup has a different connectivity, because it has a hole. To a topologist, a coffee cup has the same connectivity as a donut or a DVD, each has one hole.
Moebius strips are also studied by topologists.
2007-07-16 17:33:41
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answer #1
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answered by Keith P 7
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Topology (Greek topos, "place," and logos, "study") is a branch of mathematics that is an extension of geometry. Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology builds on set theory, considering both sets of points and families of sets.
2007-07-16 17:33:23
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answer #2
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answered by br0hamus 2
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You're thinking of topography, Blaggy_1998.
"Topology (Greek topos, "place," and logos, "study") is a branch of mathematics that is an extension of geometry. Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology builds on set theory, considering both sets of points and families of sets."
2007-07-16 17:33:00
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answer #3
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answered by Lady Geologist 7
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A topology is a set of points, X, together with a collection of subsets of X, call this T, satisfying:
1) both the empty set and X itself belong to T
2) given any arbitrary collections of sets in T, the union of all of those is in T as well
3) given any finite collection of sets from T, their intersection is in T as well.
The sets in T are usually called "open sets". X together with T is called a topological space, and T is called the topology on X.
An example: any metric space, together with T=the collection of all open sets in the space (here open referring to sets open according to the metric space definition of open)
2007-07-16 17:45:16
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answer #4
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answered by Anonymous
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Topology is the study of the shapes of things: the effects of knots, holes, twists, and the like.
2007-07-16 17:31:48
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answer #5
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answered by Anonymous
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topology is the science of maps not maths. A topological graph shows the contours and the surface of an area
2007-07-16 17:31:45
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answer #6
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answered by Blaggy_1998 2
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Its about whether or not a line between A and B crosses a line between any two other points in getting there on a surface.
2007-07-16 17:35:25
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answer #7
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answered by Happy Camper 5
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given points at which thee given function will not be analytic.
f(z)=z/z-3i
2013-09-30 03:25:50
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answer #8
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answered by Anonymous
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