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- Monodromy_theorem abstract "In complex analysis, the monodromy theorem is an important result about analytic continuation of a complex-analytic function to a larger set. The idea is that one can extend a complex-analytic function (from here on called simply analytic function) along curves starting in the original domain of the function and ending in the larger set. A potential problem of this analytic continuation along a curve strategy is there are usually many curves which end up at the same point in the larger set. The monodromy theorem gives sufficient conditions for analytic continuation to give the same value at a given point regardless of the curve used to get there, so that the resulting extended analytic function is well-defined and single-valued. Before stating this theorem it is necessary to define analytic continuation along a curve and study its properties.".
- Monodromy_theorem thumbnail Analytic_continuation_along_a_curve.png?width=300.
- Monodromy_theorem wikiPageExternalLink m064690.htm.
- Monodromy_theorem wikiPageExternalLink MonodromyTheorem.html.
- Monodromy_theorem wikiPageExternalLink MomodromyTheorem.html.
- Monodromy_theorem wikiPageID "10530074".
- Monodromy_theorem wikiPageRevisionID "544758608".
- Monodromy_theorem hasPhotoCollection Monodromy_theorem.
- Monodromy_theorem subject Category:Theorems_in_complex_analysis.
- Monodromy_theorem type Abstraction100002137.
- Monodromy_theorem type Communication100033020.
- Monodromy_theorem type Message106598915.
- Monodromy_theorem type Proposition106750804.
- Monodromy_theorem type Statement106722453.
- Monodromy_theorem type Theorem106752293.
- Monodromy_theorem type TheoremsInComplexAnalysis.
- Monodromy_theorem comment "In complex analysis, the monodromy theorem is an important result about analytic continuation of a complex-analytic function to a larger set. The idea is that one can extend a complex-analytic function (from here on called simply analytic function) along curves starting in the original domain of the function and ending in the larger set. A potential problem of this analytic continuation along a curve strategy is there are usually many curves which end up at the same point in the larger set.".
- Monodromy_theorem label "Monodromy theorem".
- Monodromy_theorem label "Théorème de monodromie".
- Monodromy_theorem label "Теорема о монодромии".
- Monodromy_theorem sameAs Théorème_de_monodromie.
- Monodromy_theorem sameAs m.02qgwqp.
- Monodromy_theorem sameAs Q4455046.
- Monodromy_theorem sameAs Q4455046.
- Monodromy_theorem sameAs Monodromy_theorem.
- Monodromy_theorem wasDerivedFrom Monodromy_theorem?oldid=544758608.
- Monodromy_theorem depiction Analytic_continuation_along_a_curve.png.
- Monodromy_theorem isPrimaryTopicOf Monodromy_theorem.
