Abstract
AbstractWe give a complete classification of mixed Tsirelson spacesfor finitely many pairs of given compact and hereditary familiesof finite sets of integers and 0 <θi< 1 in terms of the Cantor–Bendixson indices of the families, andθi(1 ≤i≤r). We prove that there are unique countable ordinalαand 0 <θ< 1 such that every block sequence ofhas a subsequence equivalent to a subsequence of the natural basis of the. Finally, we give a complete criterion of comparison in between two of these mixed Tsirelson spaces.
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