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Spectra of Tukey types of ultrafilters on Boolean algebras

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Abstract

Extending recent investigations on the structure of Tukey types of ultrafilters on \({\mathcal{P}(\omega)}\) to Boolean algebras in general, we classify the spectra of Tukey types of ultrafilters for several classes of Boolean algebras, including interval algebras, tree algebras, and pseudo-tree algebras.

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Authors and Affiliations

  1. Department of Mathematics, California State University - Channel Islands, One University Drive, Camarillo, CA, 93012, U.S.A

    Jennifer A. Brown

  2. Department of Mathematics, University of Denver, 2280 S Vine St, Denver, CO, 80208, U.S.A

    Natasha Dobrinen

Authors
  1. Jennifer A. Brown
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  2. Natasha Dobrinen
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Correspondence to Jennifer A. Brown.

Additional information

Presented by A. Dow.

N. Dobrinen was supported by National Science Foundation Grant DMS-1301665.

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Brown, J.A., Dobrinen, N. Spectra of Tukey types of ultrafilters on Boolean algebras. Algebra Univers. 75, 419–438 (2016). https://doi.org/10.1007/s00012-016-0379-y

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  • DOI: https://doi.org/10.1007/s00012-016-0379-y

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