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Author : Richard Eugene McGill
Release : 1958
Genre : Functions, Continuous
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Topological Structures for a Space of Continuous Functions by : Richard Eugene McGill
Download or read book Topological Structures for a Space of Continuous Functions written by Richard Eugene McGill. This book was released on 1958. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Eugene McGill
Release : 1959
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Topological Structures for a Space of Continuous Functions by : Richard Eugene McGill
Download or read book Topological Structures for a Space of Continuous Functions written by Richard Eugene McGill. This book was released on 1959. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert A. McCoy
Release : 2006-12-08
Genre : Mathematics
Kind : eBook
Book Rating : 819/5 ( reviews)
Book Synopsis Topological Properties of Spaces of Continuous Functions by : Robert A. McCoy
Download or read book Topological Properties of Spaces of Continuous Functions written by Robert A. McCoy. This book was released on 2006-12-08. Available in PDF, EPUB and Kindle. Book excerpt: 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. A chapter on cardinal functions puts characterizations of a number of topological properties of function spaces into a more general setting: some of these results are new, others are generalizations of known theorems. Excercises are included at the end of each chapter, covering other kinds of function space topologies. Thus the book should be appropriate for use in a classroom setting as well as for functional analysis and general topology. The only background needed is some basic knowledge of general topology.
Author : G.L.M. Groenewegen
Release : 2016-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 013/5 ( reviews)
Book Synopsis Spaces of Continuous Functions by : G.L.M. Groenewegen
Download or read book Spaces of Continuous Functions written by G.L.M. Groenewegen. This book was released on 2016-06-17. Available in PDF, EPUB and Kindle. Book excerpt: The space C(X) of all continuous functions on a compact space X carries the structure of a normed vector space, an algebra and a lattice. On the one hand we study the relations between these structures and the topology of X, on the other hand we discuss a number of classical results according to which an algebra or a vector lattice can be represented as a C(X). Various applications of these theorems are given.Some attention is devoted to related theorems, e.g. the Stone Theorem for Boolean algebras and the Riesz Representation Theorem.The book is functional analytic in character. It does not presuppose much knowledge of functional analysis; it contains introductions into subjects such as the weak topology, vector lattices and (some) integration theory.
Author : Peter W. Michor
Release : 1980
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Manifolds of Differentiable Mappings by : Peter W. Michor
Download or read book Manifolds of Differentiable Mappings written by Peter W. Michor. This book was released on 1980. Available in PDF, EPUB and Kindle. Book excerpt:
