CONTENTS Preface Introduction 0. The role of countability in (S) and (L) 1. Oscillating real numbers 2. The conjecture (S) for compact spaces 3. Some problems closely related to (S) and (L) 4. Diagonalizations of length continuum 5. (S) and (L) and the Souslin Hypothesis 6. (S) and (L) and Luzin spaces 7. Forcing axioms for ccc partitions 8. Proper forcing axiom and partitions. 9. (S) and (L) are different References Index of symbols Index of terms ix Xl 3 15 23 27 35 45 49 57 71 91 103 113 115
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