TABLE OF CONTENTS
CHAPTER
V. Dimension (1) 78
Covering dimension 78
Extension of mappings 81
Separation 85
Metric spaces 88
Exercises 92
Research Problem C 95
Notes 96
CHAPTER
VI. Compactifications 97
Dimension-preserving compactifications 97
Examples 102
Metric case 106
Freudenthal compactification 109
Exercises 117
Research Problem D 121
Notes 121
CHAPTER
VII. Locally fine spaces 123
The functor X 123
Shirota's theorem 127
Products of separable spaces 130
Glicksberg's theorem 133
Supercomplete spaces 140
Exercises 141
Research Problem B3 - 144
Notes 144
CHAPTER
VIII. Dimension (2) 146
Essential coverings 146
Sum and subset 148
Coincidence theorems 153
Exercises 155
Notes 157
APPENDIX.
Line and plane 159
BIBLIOGRAPHY 163
INDEX 173
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