Forcing for hL and hd

Details Forcing for hL and hd Forcing for hL and hd

1998-08-25

arxiv.org/abs/math/9808104v2

Mathematics

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Scientific paper

The present paper addresses the problem of attainment of the supremums in various equivalent definitions of hereditary density hd and hereditary Lindelof degree hL of Boolean algebras. We partially answer two problems of J. Donald Monk (Problems 50 and 54 in his book "Cardinal Invariants on Boolean Algebras), 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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