## Most recent change of Topology

Edit made on October 25, 2008 by ColinWright at 19:58:12

Deleted text in red /
Inserted text in green

WW

HEADERS_END

Topology is the area of mathematical study dealing with the properties of objects that are preserved through deformation, twisting, and stretching without tearing.

Topology is the area of mathematical study dealing with the properties of objects that are

preserved through deformation, twisting, and stretching without tearing or glueing. The objects

studied are called Topological Spaces.

For example, if you're not allowed to tear or glue, but just allowed to deform, then a coffee

cup (which has a single hole) can be distorted and moulded into a ring doughnut, but can never

be distorted and moulded into a ball, or a sugar bowl (which has two handles). There's no way

to get rid of the hole, and there's no way to get a second hole.

Topology comes in two flavours: "Point Set Topology" and "Algebraic Topology"

Related topics are Braid Theory and Knot Theory.

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* http://www.google.co.uk/search?q=Topology