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

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Author(s):	Aviles, Antonio ^[1] ; Brech, Christina ^[2] Total Authors: 2
Affiliation:	^[1] Univ Murcia, Dept Matemat, E-30100 Murcia - Spain ^[2] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Topology and its Applications; v. 158, n. 13, p. 1534-1550, AUG 15 2011.
Web of Science Citations:	3
Abstract
Under the assumption that 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(omega)/fin has under CH and in the N(2)-Cohen model. We prove a similar result in the category of Banach spaces. (C) 2011 Elsevier B.V. All rights reserved. (AU)

FAPESP's process:	06/02378-7 - Infinite Dimensional Analysis
Grantee:	Jorge Tulio Mujica Ascui
Support Opportunities:	Research Projects - Thematic Grants


FAPESP's process:	07/08213-2 - Combinatorial aspects of nonseparable Banach spaces structure
Grantee:	Christina Brech
Support Opportunities:	Scholarships in Brazil - Post-Doctoral