Separated nets in Euclidean space and Jacobians of biLipschitz maps
نویسندگان
چکیده
منابع مشابه
Lipschitz maps and nets in Euclidean space
for x 6= x′. A set Y ⊂ Rn is a net if there is an R such that d(x, Y ) < R for every x ∈ Rn; it is separated if there is an ǫ > 0 such that |y − y′| > ǫ > 0 for every pair y 6= y′ in Y . History. In 1965, J. Moser showed that any two positive, C∞ volume forms on a compact manifold with the same total mass are related by a diffeomorphism [Mos]. Extensions of this result to other smoothness class...
متن کاملNETS AND SEPARATED S-POSETS
Nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, aposet with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $S$-net. Using $S$-nets and itsconvergency we...
متن کاملBilipschitz Approximations of Quasiconformal Maps
We show that for any K -quasiconformal map of the upper half plane to itself and any ε > 0 , there is a (K + ε) -quasiconformal map of the half plane with the same boundary values which is also biLipschitz with respect to the hyperbolic metric.
متن کاملnets and separated s-posets
nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. in this work we introduce this concept in an $s$-poset, aposet with an action of a posemigroup $s$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $s$-net. using $s$-nets and itsconvergency we...
متن کاملOn maps between modular Jacobians and Jacobians of Shimura curves
Fix a squarefree integer N , divisible by an even number of primes, and let Γ be a congruence subgroup of level M , where M is prime to N . For each D dividing N and divisible by an even number of primes, the Shimura curve X(Γ0(N/D)∩Γ ) associated to the indefinite quaternion algebra of discriminant D and Γ0(N/D) ∩ Γ -level structure is well defined, and we can consider its Jacobian J(Γ0(N/D) ∩...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geometric And Functional Analysis
سال: 1998
ISSN: 1016-443X,1420-8970
DOI: 10.1007/s000390050056