Corpus ID: 119150551

# Amalgamating many overlapping Boolean algebras

@article{Milovich2016AmalgamatingMO,
title={Amalgamating many overlapping Boolean algebras},
author={D. Milovich},
journal={arXiv: Logic},
year={2016}
}
• D. Milovich
• Published 2016
• Mathematics
• arXiv: Logic
• In general, two overlapping Boolean algebras always extend to a common Boolean algebra, but three may not. We prove a new sufficient condition for $n$ overlapping Boolean algebras to have a common extension. Combining this with the set-theoretic technique of long $\omega_1$-approximation sequences (also known as Davies sequences), we obtain a flexible method of constructing (in ZFC) arbitrarily large Boolean algebras as direct limits of countable Boolean algebras. Along the way, we develop some… CONTINUE READING
1 Citations
Infinite Combinatorics Plain and Simple
• Mathematics, Computer Science
• J. Symb. Log.
• 2018
• 7
• PDF

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