The cardinal coefficients of the Ideal $${{\mathcal {I}}_{f}}$$
Tóm tắt
In 2002, Yorioka introduced the σ-ideal
$${{\mathcal {I}}_f}$$
for strictly increasing functions f from ω into ω to analyze the cofinality of the strong measure zero ideal. For each f, we study the cardinal coefficients (the additivity, covering number, uniformity and cofinality) of
$${{\mathcal {I}}_f}$$
.
Tài liệu tham khảo
Bartoszyński, T., Judah, H.: Set Theory: on the Structure of the REAL Line. A. K. Peters, Ltd., MA, USA (1995)
Kunen, K.: Set Theory. North Holland, NY, USA (1980)
Osuga N.: The covering number and the uniformity of the ideal \({{\mathcal {I}}_f}\). Math. Logic Q. 52(4), 351–358 (2006)
Yorioka T.: The cofinality of the strong measure zero ideal. J. Symbol. Logic 67(4), 1373–1384 (2002)