Projectivity of the free Banach lattice generated by a lattice
arXiv:1903.01191 · doi:10.1007/s00013-019-01360-3
Abstract
We study the projectivity of the free Banach lattice generated by a lattice in two cases: when the lattice is finite, and when the lattice is an infinite linearly ordered set. We prove that in the first case it is projective while in the second case, if the linear order contains either an increasing sequence without upper bounds or a decreasing sequence without lower bounds, then it is not projective.
We found a mistake in this paper. We indicate how to fix the error: Red text indicates what should be removed and blue text what should be added to the published version in Archiv der Mathematik 113 (2019), 515-524