Rings of Continuous Functions
Springer (Publisher)
Published in October 1976
Book
Hardback
XIII, 300 pages
978-3-540-90198-3 (ISBN)
Description
The objective of this book is the systematic study of the ring of all real valued continuous functions on arbitrary topological spaces. Great emphasis is placed on the study of ideals, and on the associated residue class rings. Questions of extending continuous functions from a subspace to the entire space arise as a necessary adjunct and are dealt with in considerable detail. Many problems provide additional information about the material covered in the text.
More details
Series
Edition
Unchanged reprint
Language
German
Place of publication
Berlin
Germany
Target group
College/higher education
Edition type
New edition
Dimensions
Height: 216 mm
Width: 138 mm
Weight
610 gr
ISBN-13
978-3-540-90198-3 (9783540901983)
Schweitzer Classification
Content
Contents: Functions of a Topological Space.- Ideals and Z-Filters.- Completely Regular Spaces.- Fixed Ideals. Compact Spaces.- Ordered Residue Class Rings.- The Stone-Czech Compactification.- Characterization of Maximal Ideals.- Realcompact Spaces.- Cardinals of Closed Sets in Beta-x.- Homomorphisms and Continuous Mappings.- Embedding in Products of Real Lines.- Discrete Spaces. Nonmeasurable Cardinals.- Hyper-Real Residue Class Fields.- Prime Ideals.- Uni- form Spaces.- Dimension.- Notes.- Bibliography.- List of Symbols.- Index.