I. Coherent Sequences
نویسنده
چکیده
I Coherent Sequences 3 by Stevo Todorcevic 1 The Space of Countable Ordinals . . . . . . . . . . . . . . . . . . 4 2 Subadditive Functions . . . . . . . . . . . . . . . . . . . . . . . . 12 3 Steps and Coherence . . . . . . . . . . . . . . . . . . . . . . . . . 19 4 The Trace and the Square-Bracket Operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 5 A Square-Bracket Operation on a Tree . . . . . . . . . . . . . . 31 6 Special Trees and Mahlo Cardinals . . . . . . . . . . . . . . . . . 33 7 The Weight Function on Successor Cardinals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 8 The Number of Steps . . . . . . . . . . . . . . . . . . . . . . . . 38 9 Square Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . 40 10The Full Lower Trace of a Square Sequence . . . . . . . . . . . . 46 11Special Square Sequences . . . . . . . . . . . . . . . . . . . . . . 49 12Successors of Regular Cardinals . . . . . . . . . . . . . . . . . . 52 13Successors of Singular Cardinals . . . . . . . . . . . . . . . . . . 56 14The Oscillation Mapping . . . . . . . . . . . . . . . . . . . . . . 63 15The Square-Bracket Operation . . . . . . . . . . . . . . . . . . . 65 16Unbounded Functions on Successors of Regular Cardinals . . . . . . . . . . . . . . . . . . . . . . . . . . 71 17Higher Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . 76
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