Book:Leonard Gillman/Rings of Continuous Functions

Leonard Gillman and Meyer Jerison: Rings of Continuous Functions

Published $\text {1960}$, Springer-Verlag

ISBN 0-387-90198-1

Subject Matter

• Rings of Continuous Real-valued Functions

Contents

Chapter

$\,\,0\quad$ Foreword

$\,\,1\quad$ Functions on a Topological Space

$\,\,2\quad$ Ideals and z-Filters

$\,\,3\quad$ Completely Reguar Spaces

$\,\,4\quad$ Fixed Ideals. Compact Spaces

$\,\,5\quad$ Ordered Residue Class Rings

$\,\,6\quad$ The Stone-Čech Compactifications

$\,\,7\quad$ Characterization of Maximal Ideals

$\,\,8\quad$ Realcompact Spaces

$\,\,9\quad$ Cardinals of Closed Sets in $\beta X$

$10\quad$ Homomorphisms and Continuous Mappings

$11\quad$ Embedding in Products of Real Lines

$12\quad$ Discrete Spaces. Nonmeasurable Cardinals

$13\quad$ Hyper-Real Residue Class Fields

$14\quad$ Prime Ideals

$15\quad$ Uniform Spaces

$16\quad$ Dimension

$\quad\quad$ Notes

$\quad\quad$ Bibliography

$\quad\quad$ List of Symbols

$\quad\quad$ Index