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Attainment of Tightness in Boolean Spaces
Author(s) -
Martínez Juan Carlos
Publication year - 2002
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/1521-3870(200211)48:4<555::aid-malq555>3.0.co;2-s
Subject(s) - mathematics , sequence (biology) , function (biology) , sense (electronics) , status attainment , boolean function , educational attainment , calculus (dental) , discrete mathematics , demography , sociology , medicine , population , political science , law , genetics , socioeconomic status , evolutionary biology , biology , engineering , dentistry , electrical engineering
We consider some questions of Donald Monk related to attainment of the tightness function in Boolean spaces. Then we prove in ZFC that attainment of tightness in the sense of the definition does not imply attainment of tightness in the free sequence sense. Our results give rise to full answers to [2, Problems 41, 42].