The odd number theorem is a result in differential topology applied to strong gravitational lensing, stating that a bounded transparent gravitational lens must always produce an odd number of images of a background source. Its rigorous proof rests on Uhlenbeck's Morse theory of null geodesics together with the Poincare-Hopf theorem, which together show why the image count can never come out even.
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Statement FormCharacterization Theorem 1 StatementThe number of multiple images produced by a bounded transparent lens must be odd. 1 Connections
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Source Odd number theorem - Wikipedia
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1. Odd number theorem - Wikipedia
Introduction, sentence 1
the number of multiple images produced by a bounded transparent lens must be odd.
In Branch: Differential Topology, Lead sentence
The odd number theorem is a theorem in differential topology about strong gravitational lensing, which states that the number of m
In Group: Relativity and Gravitation, Lead section
theorem is a theorem in differential topology about strong gravitational lensing, which states that the number of multiple images
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