Authors: McCoy, Robert . Ntantu, Ibula. This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions
Authors: McCoy, Robert . This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies studied are the set-open topologies and the uniform topologies. Where appropriate, the analogous theorems for the two major classes of topologies are studied together, so that a comparison can be made.
Topological properties of spaces of continuous functions, Robert A. McCoy, Ibula Ntantu. This generalization of the Eberlein–Grothendieck theorem allows us to prove that, for any strongly pseudocompact spaces T, there exist many points of norm. continuity for any pointwise continuous, C(T)C(T)-valued mapping h, defined on a Baire space X, which is homeomorphic to a dense Borel subset of a pseudocompact space. In particular, this is so, if X is pseudocompact.
It is left as an exercise, but, I think, it follows from the prior results in the book.
McCoy, R. and Ntantu, . ‘Topological Properties of Spaces of Continuous Functions’: Lecture Notes in Mathematics 1315 (Springer-Verlag, Berlin, Heidelberg, New York 1988). Naimpally, . ‘Graph topology for function spaces’, Trans. Soc. 123 (1966), 267–272. Poppe, . ‘Über Graphentopologien für Abbildungsraüme I’, Bull.
Robert A McCoy; Ibula Ntantu Specifications. Lecture Notes in Mathematics.
Robert A McCoy; Ibula Ntantu.
answered May 19 at 21:35.
In topology and related branches of mathematics, a topological space may be defined as a set of points, along with a set of neighbourhoods for each point, satisfying a set of axioms relating points and neighbourhoods. The definition of a topological space relies only upon set theory and is the most general notion of a mathematical space that allows for the definition of concepts such as continuity, connectedness, and convergence.
Topological properties of spaces of continuous functions. Varun Jindal, Ibula Ntantu
Topological properties of spaces of continuous functions. Varun Jindal, Ibula Ntantu. The (strong) Isbell topology and (weakly) continuous lattices, Continuous Lattices and Applications, Lecture Notes in pure and Appl. P. Lambrinos, B. K. Papadopoulos.
Series: Lecture Notes in Mathematics (1315). Lecture Notes in Mathematics (1315). Original publication date.
Preface Writing these lecture notes I had several goals in mind: ]) To. .constructions of some classical bases of functions of a single variable.
Preface Writing these lecture notes I had several goals in mind: ]) To present (in Chapters I and 4) theoretical aspects of Schauder bases in spaces C(X) and Co(X), in the spirit of the iso- metric theory of Banach spaces, including a construction of a basis in a generic separable space C (X). o 2) To show (in Chapter 2). Bo~kari~v on bases in certain Banach spaces of analytic functions (Section . ).