On closed invariant sets in local dynamics
نویسندگان
چکیده
منابع مشابه
On Closed Invariant Sets in Local Dynamics
We investigate the dynamical behaviour of a holomorphic map f : U → C , where U is an open polynomially convex subset of C, on an f−invariant subset E of U. We also prove a Birkhoff type Theorem for holomorphic maps in several complex variables, i.e. given an injective holomorphic map f, defined in a neighborhood of U, with U star-shaped and f(U) a Runge domain, we prove the existence of a forw...
متن کاملOn invariant sets topology
In this paper, we introduce and study a new topology related to a self mapping on a nonempty set.Let X be a nonempty set and let f be a self mapping on X. Then the set of all invariant subsets ofX related to f, i.e. f := fA X : f(A) Ag P(X) is a topology on X. Among other things,we nd the smallest open sets contains a point x 2 X. Moreover, we find the relations between fand To f . For insta...
متن کاملMore On λκ−closed sets in generalized topological spaces
In this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.
متن کاملOn Regular Generalized $delta$-closed Sets in Topological Spaces
In this paper a new class of sets called regular generalized $delta$-closed set (briefly rg$delta$-closed set)is introduced and its properties are studied. Several examples are provided to illustrate the behaviour of these new class of sets.
متن کاملOn the Local Connectivity Number of Stationary Random Closed Sets
Random closed sets (RACS) in the d–dimensional Euclidean space are considered, whose realizations belong to the extended convex ring. A family of nonparametric estimators is investigated for the simultaneous estimation of the vector of all specific Minkowski functionals (or, equivalently, the specific intrinsic volumes) of stationary RACS. The construction of these estimators is based on a repr...
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: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.09.023