Christensen has defined a generalization of the property of being of Haar measure zero to subsets of (abelian) Polish groups which need not be locally compact; a recent paper of Hunt, Sauer, and Yorke defines the same property for Borel subsets of linear spaces, and gives a number of examples and applications. The latter authors use the term “shyness” for this property, and “prevalence” for the...

1.5∗ (A.Ostaszewski, email 9-92) Consider Telgarsky’s game G(T ) where T ⊆ 2. Player I plays a countable cover of T Player II chooses onesay Xn. Player I wins iff ∩{cl(Xn) : n ∈ ω} ⊆ T . It is known that (a) Player I has winning strategy iff T is analytic. (b) If there exists A an analytic subset of cl(T ) not Borel separated from T , then Player II has a winning strategy. Is the converse of (b...

In this paper, we shall give examples to answer that an open problem posed by De Baets et al. in “Triangular norms on product lattices (Fuzzy Sets and Systems 104(1999), 61-75)”.