Transversality (mathematics) | Wikipedia audio article
Channel: wikipedia tts
Date: 07/10/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Transversality_(mathematics)


00:00:26 1 Definition
00:01:05 2 Transversality of maps
00:01:31 3 Meaning of transversality for different dimensions
00:02:23 4 Intersection product
00:02:49 5 Examples of transverse intersections
00:03:28 6 Applications
00:03:41 6.1 Optimal control
00:04:07 6.2 Smoothness of solution spaces
00:04:33 7 Grammar
00:04:59 8 See also



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SUMMARY
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In mathematics, transversality is a notion that describes how spaces can intersect; transversality can be seen as the "opposite" of tangency, and plays a role in general position. It formalizes the idea of a generic intersection in differential topology. It is defined by considering the linearizations of the intersecting spaces at the points of intersection.