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I know Topology is a branch of Math. And also there's something called topology studied in Topology.

2007-07-16 17:28:22 · 8 answers · asked by Tania 1 in Science & Mathematics Mathematics

8 answers

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 · answer #1 · answered by Keith P 7 · 0 0

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 · answer #2 · answered by br0hamus 2 · 0 1

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 · answer #3 · answered by Lady Geologist 7 · 0 1

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 · answer #4 · answered by Anonymous · 0 0

Topology is the study of the shapes of things: the effects of knots, holes, twists, and the like.

2007-07-16 17:31:48 · answer #5 · answered by Anonymous · 1 0

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 · answer #6 · answered by Blaggy_1998 2 · 0 4

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 · answer #7 · answered by Happy Camper 5 · 0 1

given points at which thee given function will not be analytic.
f(z)=z/z-3i

2013-09-30 03:25:50 · answer #8 · answered by Anonymous · 0 0

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