3 citations · 7 across the 17 of their papers we have counts for
7 papers · 1 filter
Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. VI
Paolo Lipparini
We discuss the existence of complete accumulation points of sequences in products of topological spaces. Then we collect and generalize many of the results proved in Parts I, II an…
Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. V
Paolo Lipparini
We generalize to the relations and $\alm (λ, μ) \stackrelκ{\Rightarrow} \alm (λ', μ')$ some results obtained in Parts II and IV. We also p…
Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. IV
Paolo Lipparini
We extend to singular cardinals the model-theoretical relation introduced in P. Lipparini, The compactness spectrum of abstract logics, large cardinals…
Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. II
Paolo Lipparini
We find many conditions equivalent to the model-theoretical property introduced in [L1]. Our conditions involve uniformity of ultrafilters, compactness…
Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. I
Paolo Lipparini
We begin the study of the consequences of the existence of certain infinite matrices. Our present application is to compactness of products of topological spaces.
A connection between decomposable ultrafilters and possible cofinalities. II
Paolo Lipparini
We use Shelah's theory of possible cofinalities in order to solve a problem about ultrafilters. THEOREM. Suppose that is a singular cardinal, , and the ultrafilter $D…