On Generalization of Injectivity
نویسنده
چکیده
Characterizations of quasi-continuousmodules and continuousmodules are given. A non-trivial generalization of injectivity (distinct from p-injectivity) is considered.
منابع مشابه
On Generalization of Injectivity 217
Characterizations of quasi-continuousmodules and continuousmodules are given. A non-trivial generalization of injectivity (distinct from p-injectivity) is considered.
متن کاملA Transcendental Approach to Kollár’s Injectivity Theorem Ii
We treat a relative version of the main theorem in [F2]: A transcendental approach to Kollár’s injectivity theorem. More explicitly, we give a curvature condition that implies Kollár type cohomology injectivity theorems in the relative setting. To carry out this generalization, we use Ohsawa-Takegoshi’s twisted version of Nakano’s identity.
متن کاملNonuniform Thickness and Weighted Distance
Nonuniform tubular neighborhoods of curves in Rn are studied by using weighted distance functions and generalizing the normal exponential map. Different notions of injectivity radii are introduced to investigate singular but injective exponential maps. A generalization of the thickness formula is obtained for nonuniform thickness. All singularities within almost injectivity radius are classifie...
متن کاملInjectivity Criteria for Holomorphic Curves in C
Combining the definition of Schwarzian derivative for conformal mappings between Riemannian manifolds given by Osgood and Stowe with that for parametrized curves in Euclidean space given by Ahlfors, we establish injectivity criteria for holomorphic curves φ : D → C. The result can be considered a generalization of a classical condition for univalence of Nehari.
متن کاملInjectivity and adjoint extremals
The following investigation deals with injectivity results for general diffeomorphisms as well as for Haar’s transformation. We apply these results to adjoint variational problems introduced by Haar [6]. In particular, we prove a generalization of Krust’s theorem for two-dimensional adjoint extremals. AMS Classification Code: 26B10, 49B, 49L, 53A05, 53A10, 70G, 70H
متن کامل