An additivity theorem for uniformly continuous functions
نویسندگان
چکیده
منابع مشابه
Rings of Uniformly Continuous Functions
There is a natural bijective correspondence between the compactifications of a Tychonoff space X, the totally bounded uniformities on X, and the unital C∗-subalgebras of C∗(X) (the algebra of bounded continuous complex valued functions on X) with what we call the completely regular separation property. The correspondence of compactifications with totally bounded uniformities is well know and ca...
متن کاملBetween continuous and uniformly continuous functions on R n ∗
We study classes of continuous functions on R that can be approximated in various degree by uniformly continuous ones (uniformly approachable functions). It was proved in [BDP1] that no polynomial function can distinguish between them. We construct examples that distinguish these classes (answering a question from [BDP1]) and we offer appropriate forms of uniform approachability that enable us ...
متن کاملOn uniformly continuous functions for some profinite topologies
Given a variety of finite monoids V, a subset of a monoid is a V-subset if its syntactic monoid belongs to V. A function between two monoids is V-preserving if it preservesV-subsets under preimages and it is hereditary V-preserving if it is W-preserving for every subvariety W of V. The aim of this paper is to study hereditary V-preserving functions when V is one of the following varieties of fi...
متن کاملThe Implicit Function Theorem for Continuous Functions
In the present paper we obtain a new homological version of the implicit function theorem and some versions of the Darboux theorem. Such results are proved for continuous maps on topological manifolds. As a consequence, some versions of these classic theorems are proved when we consider differenciable (not necessarily C) maps.
متن کاملThe "Three-Square#' Theorem for Continuous Functions
Thus for "most" choices of three squares /]1, P2, P3 the validity of (1) for -{P~, P2, P3} implies f ---0. The Pompeiu problem has an extensive history which we will not discuss here. The reader is referred to the paper [13] of L. ZALCMAN for an excellent account of the problem, including the "two-circles theorem" of Delsarte for harmonic functions, which is the motivation for our Theorem 1. We...
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: Topology and its Applications
سال: 2005
ISSN: 0166-8641
DOI: 10.1016/j.topol.2003.05.007