Transition function: Difference between revisions

Revision as of 02:43, 1 July 2005

Revision as of 17:31, 11 May 2006

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In [[mathematics]], a '''transition function''' has several different meanings:

* In [[topology]], a '''transition function''' is a [[homeomorphism]] from one coordinate [[chart (topology)|chart]] to another. Given two charts (''U''_''i'', φφ_''i'') and (''U''_''j'', φφ_''j'') a transition [[function (mathematics)|function]] normally takes the form

::<math>\phi_i\phi_j^{-1} : (U_i \cap U_j) \times F \to (U_i \cap U_j) \times F</math>

:for some [[set]] ''F'' being covered by the [[topology]]. See [[Atlas (topology)]] for additional details.

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{{disambig}}

[[Category:Mathematical disambiguation]]

[[fr:Fonction de transition]]