54 citations · 107 across the 18 of their papers we have counts for
4 papers · 1 filter
The automorphism tower problem revisited
Winfried Just, Saharon Shelah, Simon Thomas
It is well-known that the automorphism towers of infinite centreless groups of cardinality kappa terminate in less than (2^{kappa})^+ steps. But an easy counting argument shows tha…
Strongly almost disjoint sets and weakly uniform bases
Zoltán Balogh, Sheldon W. Davis, Winfried Just +2
A combinatorial principle CECA is formulated and its equivalence with GCH+ certain weakenings of Box_lambda for singular lambda is proved. CECA is used to show that certain ``almos…
The combinatorics of open covers (II)
Winfried Just, Arnold W. Miller, Marion Scheepers +1
We continue to investigate various diagonalization properties for sequences of open covers of separable metrizable spaces introduced in Part I. These properties generalize classica…
Covering games and the Banach-Mazur game: k-tactics
Tomek Bartoszynski, Winfried Just, Marion Scheepers
Given a free ideal J of subsets of a set X, we consider games where player ONE plays an increasing sequence of elements of the sigma completion of J, and TWO tries to cover the uni…