CONTENTS 1. Introduction...................................................5 2. ℬ-filters and ℬ-compactifications..................6 3. The weight of φX.........................................12 4. Other properties of φX................................15 5. Extensions of maps and subspaces............21 6. Subordinate subsets of C*(X)......................25 7. Quasi-component spaces...........................30 8. References.................................................33
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