Powers of the ideal of Lebesgue measure zero sets

We investigate the cofinality of the partial order N-kappa of functions from a regular cardinal kappa into the ideal N of Lebesgue measure zero subsets of R. We show that when add(N) = kappa and the covering lemma holds with respect to an inner model of GCH, then cf(N-kappa) = max{cf(kappa(kappa)), cf([cf(N)]kappa)}. We also give an example to show that the covering assumption cannot be removed.PT: J; CR: BAUMGARTNER J, 1983, SURVEYS SET THEORY, P1 BURKE MR, 1988, THESIS U TORONTO TOR FREMLIN DH, 1984, MATHEMATIKA, V31, P323 FREMLIN DH, 1984, SEMINAIRE INITIATION, V23 FREMLIN DH, 1988, PARTIALLY ORDERED SE JECH TJ, 1973, SET THEORY KUNEN K, 1984, HDB SET THEORETIC TO, P887 MAGIDOR M, 1977, ISRAEL J MATH, V28, P1; NR: 8; TC: 0; J9: J SYMB LOGIC; PG: 5; GA: FD568Source type: Electronic(1