Topological Properties of Spaces of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Properties of Spaces of Continuous Functions write by Robert A. McCoy. This book was released on 2006-12-08. Topological Properties of Spaces of Continuous Functions available in PDF, EPUB and Kindle. 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.
Rings of Continuous Functions
Rings of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Rings of Continuous Functions write by Leonard Gillman. This book was released on 2018-01-16. Rings of Continuous Functions available in PDF, EPUB and Kindle. Designed as a text as well as a treatise, the first systematic account of the theory of rings of continuous functions remains the basic graduate-level book in this area. 1960 edition.
Topological Properties of Spaces of Continuous Functions
Topological Properties of Spaces of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Topological Properties of Spaces of Continuous Functions write by Robert A. McCoy. This book was released on 2014-01-15. Topological Properties of Spaces of Continuous Functions available in PDF, EPUB and Kindle.
Spaces of Continuous Functions
Spaces of Continuous Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spaces of Continuous Functions write by G.L.M. Groenewegen. This book was released on 2016-06-17. Spaces of Continuous Functions available in PDF, EPUB and Kindle. 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.
Non-Hausdorff Topology and Domain Theory
Non-Hausdorff Topology and Domain Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Hausdorff Topology and Domain Theory write by Jean Goubault-Larrecq. This book was released on 2013-03-28. Non-Hausdorff Topology and Domain Theory available in PDF, EPUB and Kindle. This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasi-metric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits, compactness, completeness) and forms a complete introductory course by itself. Graduate students and researchers alike will enjoy exploring this treasure trove of results. Full proofs are given, as well as motivating ideas, clear explanations, illuminating examples, application exercises and some more challenging problems for more advanced readers.
