Continuous Functions That Are Locally Constant on Dense Sets
نویسندگان
چکیده
منابع مشابه
Hyperbolic Sets That are Not Locally Maximal
This papers addresses the following topics relating to the structure of hyperbolic sets: First, hyperbolic sets that are not contained in locally maximal hyperbolic sets. Second, the existence of a Markov partition for a hyperbolic set. We construct new examples of hyperbolic sets which are not contained in locally maximal hyperbolic sets. The first example is robust under perturbations and can...
متن کاملLocally Constant Functions
Let X be a compact Hausdorff space and M a metric space. E0(X,M) is the set of f ∈ C(X,M) such that there is a dense set of points x ∈ X with f constant on some neighborhood of x. We describe some general classes of X for which E0(X,M) is all of C(X,M). These include βN\N, any nowhere separable LOTS, and any X such that forcing with the open subsets of X does not add reals. In the case thatM is...
متن کاملA New Class of Locally Closed Sets and Locally Closed Continuous Functions in Generalized Topological Spaces
In this paper the idea of -locally closed sets in generalized topological space is introduced and study some of their properties. We introduce the notion of (,’)locally closed continuous functions on generalized topological space and investigate some of their characterizations.
متن کاملFunctions of finite simplicial complexes that are not locally determined
The Euler characteristic, thought of as a function that assigns a numerical value to every finite simplicial complex, is locally determined in both a combinatorial sense and a geometric sense. In this note we show that not every function that assigns a numerical value to every finite simplicial complex via a linear combination of the numbers of simplices in each dimension is locally determined ...
متن کاملWalsh - Fourier Coefficients and Locally Constant Functions
A condition on the Walsh-Fourier coefficients of a continuous function/ sufficient to conclude that/is locally constant is obtained. The condition contains certain conditions identified earlier by Boikarev, Coury, Skvorcov and Wade, and Powell and Wade.
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 Functional Analysis
سال: 1995
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1121