Function spaces for somewhat continuous functions
چکیده
چکیدهای برای این سند ثبت نشده است.
چکیدهای برای این سند ثبت نشده است.
We establish optimal continuity results for the action of the Hessian determinant on spaces of Besov type into the space of distributions on RN . In particular, inspired by recent work of Brezis and Nguyen on the distributional Jacobian determinant, we show that the action is con
Given a quasi-projective complex variety X and a projective variety Y , one may endow the set of morphisms, Mor(X, Y ), from X to Y with the natural structure of a topological space. We introduce a convenient technique (namely, the notion of a functor on the category of “smooth c
In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $omega_theta$-connectedness, and the $omega$-connectedness will be determined. Moreover, the con
It is well-known that a Hausdorff space is exponentiable if and only if it is locally compact, and that in this case the exponential topology is the compact-open topology. It is less well-known that among arbitrary topological spaces, the exponentiable spaces are precisely the co