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Transversality
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Geliefert zwischen Di., 25.11.2025 und Mi., 26.11.2025
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High Quality Content by WIKIPEDIA articles! Transversality in mathematics 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.Two submanifolds of a given finite dimensional smooth manifold are said to intersect transversally if at every point of intersection, their separate tangent spaces at that point together generate the tangent space of the ambient manifold at that point. Manifolds that do not intersect are vacuously transverse. If the manifolds are of complementary dimension (i.e., their dimensions add up to the dimension of the ambient space), the condition means that the tangent space to the ambient manifold is the direct sum of the two smaller tangent spaces.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131152597
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- EAN 9786131152597
- Format Fachbuch
- Titel Transversality
- Herausgeber Betascript Publishing
- Anzahl Seiten 76
- Genre Mathematik
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