Difference between revisions of "Topology"
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| − | '''Topology''' is a field of [[mathematics]] that can be considered an extension to [[geometry]]: It involves the study of space | + | '''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. |
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| + | ==Important Concepts== | ||
| + | |||
| + | *[[Homeomorphism]] | ||
| + | *[[Diffeomorphism]] | ||
| + | *[[Ambient isotopy]] | ||
| + | *[[Manifold]] | ||
==See Also== | ==See Also== | ||
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*[[Graph theory]] | *[[Graph theory]] | ||
| + | *[[Geometry]] | ||
| + | *[[Knot theory]] | ||
| + | *[[Dynamical system]] | ||
| + | *[[Klein bottle]] | ||
| + | *[[Moebius strip]] | ||
| + | *[[Fractal]] | ||
{{stub}} | {{stub}} | ||
[[Category:Topology]] | [[Category:Topology]] | ||
Latest revision as of 15:20, 18 May 2021
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
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