Geodesic
On Antichains of Spreading Models of Banach Spaces
Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 64-76

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DOI

We show that for every separable Banach space $X$ , either $\text{S}{{\text{P}}_{w}}\left( X \right)$ (the set of all spreading models of $X$ generated by weakly-null sequences in $X$ , modulo equivalence) is countable, or $\text{S}{{\text{P}}_{w}}\left( X \right)$ contains an antichain of the size of the continuum. This answers a question of S. J. Dilworth, E. Odell, and B. Sari.
DOI : 10.4153/CMB-2010-011-1
Mots-clés : 46B20, 03E15 
Dodos, Pandelis. On Antichains of Spreading Models of Banach Spaces. Canadian mathematical bulletin, Tome 53 (2010) no. 1, pp. 64-76. doi: 10.4153/CMB-2010-011-1
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     author = {Dodos, Pandelis},
     title = {On {Antichains} of {Spreading} {Models} of {Banach} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {64--76},
     year = {2010},
     volume = {53},
     number = {1},
     doi = {10.4153/CMB-2010-011-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-011-1/}
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