Cardinal invariants above the continuum

We prove some consistency results about b(lambda) and d(lambda), which are natural generalisations of the cardinal invariants of the continuum b and d. We also define invariants b_cl(lambda) and d_cl(lambda), and prove that almost always b(lambda) = b_cl(lambda) and d(lambda)=d_cl(lambda

Logical Dreams

We discuss the past and future of set theory, axiom systems and independence results. We deal in particular with cardinal arithmetic

Even more simple cardinal invariants

Using GCH, we force the following: There are continuum many simple cardinal characteristics with pairwise different values.Comment: a few changes (minor corrections) from first versio