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

Mathematics – Logic

Scientific paper

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Scientific paper

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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