Projectivity of the free Banach lattice generated by a lattice |
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| Authors: | Antonio Avil&#;s Jos&#; David Rodr&#;guez Abell&#;n |
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| Institution: | Antonio Avilés,José David Rodríguez Abellán |
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| Abstract: | We study the projectivity of the free Banach lattice generated by a lattice
$${\mathbb {L}}$$
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, it is not. |
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