Generation of operation-invariant classes of sets
Generic absoluteness under projective forcing
Generic extensions of models of ZFC
The paper contains a self-contained alternative proof of my Theorem in Characterization of generic extensions of models of set theory, Fund. Math. 83 (1973), 35–46, saying that for models of ZFC with same ordinals, the condition implies that is a -C.C. generic extension of .
Generic large cardinals: New axioms for mathematics?
Geordnete Läuchli Kontinuen
Gödel's Square Axioms for the Continuum.
Goldstern–Judah–Shelah preservation theorem for countable support iterations
[1] T. Bartoszyński, Additivity of measure implies additivity of category, Trans. Amer. Math. Soc. 281 (1984), 209-213. [2] T. Bartoszyński and H. Judah, Measure and Category, in preparation. [3] D. H. Fremlin, Cichoń’s diagram, Publ. Math. Univ. Pierre Marie Curie 66, Sém. Initiation Anal., 1983/84, Exp. 5, 13 pp. [4] M. Goldstern, Tools for your forcing construction, in: Set Theory of the Reals, Conference of Bar-Ilan University, H. Judah (ed.), Israel Math. Conf. Proc. 6, 1992, 307-362. [5] H....
Graded sets, points and numbers.
The basic tool considered in this paper is the so-called graded set, defined on the analogy of the family of α-cuts of a fuzzy set. It is also considered the corresponding extensions of the concepts of a point and of a real number (again on the analogy of the fuzzy case). These new graded concepts avoid the disadvantages pointed out by Gerla (for the fuzzy points) and by Kaleva and Seikkala (for the convergence of sequences of fuzzy numbers).
Grundlagen einer analytischen Behandlung der Gruppirungsaufgaben
Grundzüge einer Theorie der geordneten Mengen. (Mit 1 Figur im Text)
Guessing clubs in the generalized club filter
We present principles for guessing clubs in the generalized club filter on . These principles are shown to be weaker than classical diamond principles but often serve as sufficient substitutes. One application is a new construction of a λ⁺-Suslin-tree using assumptions different from previous constructions. The other application partly solves open problems regarding the cofinality of reflection points for stationary subsets of .