Difference between revisions of "Topology"
Lowtopology (talk | contribs) m (corrected spelling error) |
Asymptosis (talk | contribs) (Did a little bit of expansion, added to mathematics category.) |
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| − | '''Topology''' is a field of [[mathematics]] that can be considered an extension to [[geometry]]: It involves the study of space and its structure. | + | '''Topology''' is a field of [[mathematics]] that can be considered an extension to [[geometry]]: It involves the study of space and its structure. "A topology" can also refer to specific kind of mathematical construct which satisfies certain axioms. Topology is often considered to be one of the cornerstones of what is colloquially known as "pure mathematics", i.e. mathematics studied in order to make mathematics more stable and powerful. |
| + | |||
| + | ==Important Concepts== | ||
| + | *[[Homeomorphism]] | ||
| + | *[[Diffeomorphism]] | ||
| + | *[[Ambient isotopy]] | ||
| + | *[[Manifold]] | ||
==See Also== | ==See Also== | ||
*[[Graph theory]] | *[[Graph theory]] | ||
| + | *[[Geometry]] | ||
| + | *[[Knot theory]] | ||
| + | *[[Dynamical system]] | ||
| + | *[[Klein bottle]] | ||
| + | *[[Moebius strip]] | ||
| + | *[[Fractal]] | ||
{{stub}} | {{stub}} | ||
| − | [[Category:Topology]] | + | [[Category:Topology]] [[Category:Mathematics]] |
Revision as of 21:10, 13 June 2008
Topology is a field of mathematics that can be considered an extension to geometry: It involves the study of space and its structure. "A topology" can also refer to specific kind of mathematical construct which satisfies certain axioms. Topology is often considered to be one of the cornerstones of what is colloquially known as "pure mathematics", i.e. mathematics studied in order to make mathematics more stable and powerful.
Important Concepts
See Also
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