منابع مشابه
A Finite Dimensional A∞ Algebra Example
We construct an example of an A∞ algebra structure defined over a finite dimensional graded vector space. Introduction A∞ algebras (or sha algebras) and L∞ (or sh Lie algebras) have been topics of current research. Construction of small examples of these algebras can play a role in gaining insight into deeper properties of these structures. These examples may prove useful in developing a deform...
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We construct an example of a finite dimensional L∞ algebra which is generated by a Lie algebra together with a non-Lie action on another vector space. We then show how this example fits into the gauge transformation theory of Berends, Burgers and Van Dam.
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We prove that the group-measure-space von Neumann algebra L(T) ⋊ SL(2,Z) is solid. The proof uses topological amenability of the action of SL(2,Z) on the Higson corona of Z.
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We present a variant of the Fréchet distance (as well as geodesic and homotopic Fréchet distance) which forces the motion between the input objects to follow an ambient isotopy. This provides a measure of how much you need to continuously deform one shape into another while maintaining topologically equivalently shapes throughout the deformation.
متن کاملThe Discrete Fréchet Gap
We introduce the discrete Fréchet gap and its variants as an alternative measure of similarity between polygonal curves. We believe that for some applications the new measure (and its variants) may better reflect our intuitive notion of similarity than the discrete Fréchet distance (and its variants), since the latter measure is indifferent to (matched) pairs of points that are relatively close...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1977
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1977-0448084-6