Forcing for hL and hd

by Roslanowski and Shelah. [RoSh:651]
Colloquium Math, 2001
The present paper addresses the problem of attainment of the supremums in various equivalent definitions of hereditary density hd and hereditary Lindel{o}f degree hL of Boolean algebras. We partially answer two problems of J.~Donald Monk, Problems 50, 54, showing consistency of different attainment behaviour and proving that (for the considered variants) this is the best result we can expect.

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