Author: Leonard Gillman
Publisher: Courier Dover Publications
ISBN: 0486816885
Category : Mathematics
Languages : en
Pages : 321
Book Description
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 Functions
Author: Leonard Gillman
Publisher: Courier Dover Publications
ISBN: 0486816885
Category : Mathematics
Languages : en
Pages : 321
Book Description
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.
Publisher: Courier Dover Publications
ISBN: 0486816885
Category : Mathematics
Languages : en
Pages : 321
Book Description
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 Functions
Author: Leonard Gillman
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Spaces of Continuous Functions
Author: G.L.M. Groenewegen
Publisher: Springer
ISBN: 9462392013
Category : Mathematics
Languages : en
Pages : 173
Book Description
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.
Publisher: Springer
ISBN: 9462392013
Category : Mathematics
Languages : en
Pages : 173
Book Description
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.
General Topology
Author: Stephen Willard
Publisher: Courier Corporation
ISBN: 0486131785
Category : Mathematics
Languages : en
Pages : 386
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486131785
Category : Mathematics
Languages : en
Pages : 386
Book Description
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: Aull
Publisher: CRC Press
ISBN: 9781138441903
Category :
Languages : en
Pages :
Book Description
Publisher: CRC Press
ISBN: 9781138441903
Category :
Languages : en
Pages :
Book Description
Rings of Continuous Function
Author: Charles E. Aull
Publisher: CRC Press
ISBN: 1000154203
Category : Mathematics
Languages : en
Pages : 342
Book Description
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.
Publisher: CRC Press
ISBN: 1000154203
Category : Mathematics
Languages : en
Pages : 342
Book Description
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.
Topological Rings
Author: S. Warner
Publisher: Elsevier
ISBN: 9780080872896
Category : Mathematics
Languages : en
Pages : 497
Book Description
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.
Publisher: Elsevier
ISBN: 9780080872896
Category : Mathematics
Languages : en
Pages : 497
Book Description
This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included. The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.
Exercises in Basic Ring Theory
Author: Grigore Calugareanu
Publisher: Springer Science & Business Media
ISBN: 9401590044
Category : Mathematics
Languages : en
Pages : 193
Book Description
Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.
Publisher: Springer Science & Business Media
ISBN: 9401590044
Category : Mathematics
Languages : en
Pages : 193
Book Description
Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra. That is, it begins with simple notions and simple results. Our intention was to provide a collection of exercises which cover only the easy part of ring theory, what we have named the "Basics of Ring Theory". This seems to be the part each student or beginner in ring theory (or even algebra) should know - but surely trying to solve as many of these exercises as possible independently. As difficult (or impossible) as this may seem, we have made every effort to avoid modules, lattices and field extensions in this collection and to remain in the ring area as much as possible. A brief look at the bibliography obviously shows that we don't claim much originality (one could name this the folklore of ring theory) for the statements of the exercises we have chosen (but this was a difficult task: indeed, the 28 titles contain approximatively 15.000 problems and our collection contains only 346). The real value of our book is the part which contains all the solutions of these exercises. We have tried to draw up these solutions as detailed as possible, so that each beginner can progress without skilled help. The book is divided in two parts each consisting of seventeen chapters, the first part containing the exercises and the second part the solutions.
Rings of Continuous Functions and B - Rings
Author: Charles Everett Dickerson
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 50
Book Description
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 50
Book Description
The Spectral Theory of Bounded Functions
Author: Carl Herz
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 180
Book Description
Publisher:
ISBN:
Category : Functional analysis
Languages : en
Pages : 180
Book Description