Geodesic
Distributivity and base trees for $P(\kappa)/ {\lt} \kappa$
Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 915-926

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DOI

For $\kappa $ a regular uncountable cardinal, we show that distributivity and base trees for $P(\kappa )/{<}\kappa $ of intermediate height in the cardinal interval $[\omega , \kappa )$ exist in certain models. We also show that base trees of height $\kappa $ can exist as well as base trees of various heights $\geq \kappa ^+$ depending on the spectrum of cardinalities of towers in $P(\kappa )/{<}\kappa $.
DOI : 10.4153/S0008439524000286
Mots-clés : Distributivity matrix, distributivity tree, tree of maximal antichains, generalized Baire space 
Galgon, Geoff. Distributivity and base trees for $P(\kappa)/ {\lt} \kappa$. Canadian mathematical bulletin, Tome 67 (2024) no. 4, pp. 915-926. doi: 10.4153/S0008439524000286
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     title = {Distributivity and base trees for $P(\kappa)/ {\lt} \kappa$},
     journal = {Canadian mathematical bulletin},
     pages = {915--926},
     year = {2024},
     volume = {67},
     number = {4},
     doi = {10.4153/S0008439524000286},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439524000286/}
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