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Rings of Continuous Functions

Author : Leonard Gillman
Publisher : Courier Dover Publications
Page : 321 pages
File Size : 31,47 MB
Release : 2018-01-16
Category : Mathematics
ISBN : 0486816885

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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.

Rings of Continuous Function

Author : Aull
Publisher : CRC Press
Page : 337 pages
File Size : 13,58 MB
Release : 2020-12-17
Category : Mathematics
ISBN : 1000111113

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This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and involvement with category theory, presented in the special session on Rings of Continuous Functions held in 1982 in Cincinnati, Ohio.

General Topology

Author : Stephen Willard
Publisher : Courier Corporation
Page : 386 pages
File Size : 39,15 MB
Release : 2012-07-12
Category : Mathematics
ISBN : 0486131785

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Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.

Rings of Continuous Function

Author : Charles E. Aull
Publisher : CRC Press
Page : 342 pages
File Size : 14,72 MB
Release : 2020-12-18
Category : Mathematics
ISBN : 1000154203

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This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and involvement with category theory, presented in the special session on Rings of Continuous Functions held in 1982 in Cincinnati, Ohio.

Spaces of Continuous Functions

Author : G.L.M. Groenewegen
Publisher : Springer
Page : 183 pages
File Size : 15,75 MB
Release : 2016-06-17
Category : Mathematics
ISBN : 9462392013

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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.