Difference between revisions of "Sphere"
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(Created page with "This article looks at {{M|\mathbb{S}^n}} - the sphere as a manifold or a topological space - NOT as something with a tangent plane or defined by the set of points where a Me...") |
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This article looks at {{M|\mathbb{S}^n}} - the sphere as a manifold or a topological space - NOT as something with a tangent plane or defined by the set of points where a [[Metric space|metric]] is {{M|1}} | This article looks at {{M|\mathbb{S}^n}} - the sphere as a manifold or a topological space - NOT as something with a tangent plane or defined by the set of points where a [[Metric space|metric]] is {{M|1}} | ||
| − | == | + | ==Special cases== |
| − | {{Todo| | + | {| class="wikitable" border="1" |
| + | |- | ||
| + | ! Sphere | ||
| + | ! Description | ||
| + | |- | ||
| + | | {{M|\mathbb{S}^1}} | ||
| + | | [[Circle]] | ||
| + | |} | ||
| + | |||
| + | {{Todo|Manifolds map}} | ||
| + | |||
| + | {{Definition|Topology|Manifolds|Differential Geometry}} | ||
Latest revision as of 18:10, 16 April 2015
This article looks at [ilmath]\mathbb{S}^n[/ilmath] - the sphere as a manifold or a topological space - NOT as something with a tangent plane or defined by the set of points where a metric is [ilmath]1[/ilmath]
Special cases
| Sphere | Description |
|---|---|
| [ilmath]\mathbb{S}^1[/ilmath] | Circle |
TODO: Manifolds map