Free sequences in P(omega)/fin

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00508629" target="_blank" >RIV/67985840:_____/19:00508629 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00153-019-00675-w" target="_blank" >http://dx.doi.org/10.1007/s00153-019-00675-w</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00153-019-00675-w" target="_blank" >10.1007/s00153-019-00675-w</a>

Result language
angličtina
Original language name
Free sequences in P(omega)/fin
Original language description
We investigate maximal free sequences in the Boolean algebra P(ω) / fin , as defined by Monk (Comment Math Univ Carol 52(4):593–610, 2011). We provide some information on the general structure of these objects and we are particularly interested in the minimal cardinality of a free sequence, a cardinal characteristic of the continuum denoted f. Answering a question of Monk, we demonstrate the consistency of ω 1 = i= f< u= ω 2 . In fact, this consistency is demonstrated in the model of Shelah for i< u (Shelah in Arch Math Log 31(6):433–443, 1992). Our paper provides a streamlined and mostly self contained presentation of this construction.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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