Attainment of Tightness in Boolean Spaces

  title={Attainment of Tightness in Boolean Spaces},
  author={Juan Carlos Mart{\'i}nez},
  journal={Math. Log. Q.},
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]. Mathematics Subject Classification… CONTINUE READING