Frontmatter -- CONTENTS -- INTRODUCTION -- Part I. THEORY OF GENERAL TOPOLOGICAL SPACES -- Chapter 1. AXIOMATIC FOUNDATIONS -- Chapter 2. DEVELOPMENT OF THE THEORY -- Chapter 3. RELATIONSHIP OF VARIOUS TOPOLOGIES TO ONE ANOTHER -- Part II. SPECIAL CLASSES OF SPACES -- Chapter 4. SPACES DEFINED BY SEPARATION AXIOMS -- Chapter 5. SPACES DEFINED BY COVERING PROPERTIES: COMPACT SPACES -- Part III METRIC SPACES -- Chapter 6. THEORY OF METRIC SPACES -- Chapter 7. COMPACTA -- Chapter 8. METRIZATION OF TOPOLOGICAL SPACES -- Part IV. RUDIMENTS OF DIMENSION THEORY -- Chapter 9. POLYHEDRA -- Chapter 10. DIMENSION OF COMPACTA -- BASIC FORMULAS FROM SET THEORY -- BIBLIOGRAPHY -- INDEX