A Boolean algebra and a Banach space obtained by push-out iteration

Published 22 Dec 2010 in math.LO, math.CT, and math.FA | (1012.5051v1)

Abstract: Under the assumption that the continuum c is a regular cardinal, we prove the existence and uniqueness of a Boolean algebra B of size c defined by sharing the main structural properties that P(N)/fin has under CH and in the aleph2-Cohen model. We prove a similar result in the category of Banach spaces.

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