Difference between revisions of "Topology"
Lowtopology (talk | contribs) m (corrected spelling error) |
m |
||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
| − | '''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. The word "topology" also denotes a [[topological space]], a specific kind of mathematical construct that satisfies certain axioms. Topology is often considered one of the cornerstones of pure mathematics. |
| + | |||
| + | ==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]] |
| + | [[Category:Advanced Mathematics Topics]] | ||
Revision as of 01:33, 6 September 2008
Topology is a field of mathematics that can be considered an extension to geometry: It involves the study of space and its structure. The word "topology" also denotes a topological space, a specific kind of mathematical construct that satisfies certain axioms. Topology is often considered one of the cornerstones of pure mathematics.
Important Concepts
See Also
This article is a stub. Help us out by expanding it.
