1 citations · 3 across the 6 of their papers we have counts for
7 papers
Continuous extension of maps between sequential cascades
Szymon Dolecki, Andrzej Starosolski
The contour of a family of filters along a filter is a set-theoretic lower limit. Topologicity and regularity of convergences can be characterized with the aid of the contour opera…
The Rudin-Kisler ordering of P-points under
Andrzej Starosolski
M. E. Rudin proved under CH that for each P-point there exists another P-point strictly RK-greater (M. E. Rudin, Partial orders on the types of , Trans. Amer. Math. S…
Rudin-Kisler ordering on the P-hierarchy
Andrzej Starosolski
M. E. Rudin in "Partial orders on the types of ", (Trans. Amer. Math. Soc., 155, 1971, 353-362) proved (under CH) that for each P-point there is a P-point such that $…
Cascades, Order and Ultrafilters
Andrzej Starosolski
We investigate mutual behavior of cascades, contours of which are contained in a fixed ultrafilter. Using that relation we prove (ZFC) that the class of strict -ultrafilte…
Thin ultrafilters, P-hierarchu and MArtin Axiom
Michał Machura, Andrzej Starosolski
Under MA we prove that for the ideal of thin sets on and for any ordinal there is an -ultrafilter (in the sense of Baumgartner), which belongs to…
Ordinal ultrafilters versus P-hierarchy
Andrzej Starosolski
An earlier paper, entitled "P-hierarchy on ", investigated the relations between ordinal ultrafilters and the so-called P-hierarchy. This study is continued in the present pape…
How high can Baumgartner's {\cal I}-ultrafilters lie in the P-hierarchy?
Michał Machura, Andrzej Starosolski
Under CH we prove that for any tall ideal on and for any ordinal there is an -ultrafilter (in the sense of Baumgartner), which belongs to the cla…