Search results
Results from the WOW.Com Content Network
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 ...
There are several possibilities; see the book by Hirsch. What is usually understood by Thom's transversality theorem is a more powerful statement about jet transversality. See the books by Hirsch and by Golubitsky and Guillemin. The original reference is Thom, Bol. Soc. Mat. Mexicana (2) 1 (1956), pp. 59–71.
[10] An independent transversal (also called a rainbow-independent set or independent system of representatives ) is a transversal which is also an independent set of a given graph. To explain the difference in figurative terms, consider a faculty with m departments, where the faculty dean wants to construct a committee of m members, one member ...
The embedded manifold together with the isomorphism class of the normal bundle actually encodes the same information as the cobordism class []. This can be shown [ 2 ] by using a cobordism W {\displaystyle W} and finding an embedding to some R N W + n × [ 0 , 1 ] {\displaystyle \mathbb {R} ^{N_{W}+n}\times [0,1]} which gives a homotopy class ...
In mathematics, Hodge theory, named after W. V. D. Hodge, is a method for studying the cohomology groups of a smooth manifold M using partial differential equations.The key observation is that, given a Riemannian metric on M, every cohomology class has a canonical representative, a differential form that vanishes under the Laplacian operator of the metric.
"High school physics textbooks" (PDF). Reports on high school physics. American Institute of Physics; Zitzewitz, Paul W. (2005). Physics: principles and problems. New York: Glencoe/McGraw-Hill. ISBN 978-0078458132
Download as PDF; Printable version; ... a notion in mathematics; Transversality theorem, a theorem in differential topology; See also ... at 10:22 (UTC). Text is ...
In mathematics, the theorem of Bertini is an existence and genericity theorem for smooth connected hyperplane sections for smooth projective varieties over algebraically closed fields, introduced by Eugenio Bertini.