Geodesic
Order structure of P-point ultrafilters and their relatives
Zbornik radova, Tome 22 (2025) no. 30, p. 375

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DOI

We survey some recent results about the order structure of various kinds of ultrafilters. More precisely, we study Rudin--Keisler and Tukey reducibility in classes of selective, stable ordered-union, and P-point ultrafilters. Although these reductions are fundamentally different, there are connections between them. On the other hand, even though the classes of ultrafilters we consider are similar, there are significant differences in their order structure, as will be seen in the survey.
DOI : 10.64191/zr24040410111
Classification : 03E35, 05D10, 22A15, 54D35, 03E40
Keywords: Rudin--Keisler reducibility, Tukey reducibility, selective ultrafilter, stable ordered-union ultrafilter, P-point ultrafilter 
Boriša Kuzeljević; Dilip Raghavan. Order structure of P-point ultrafilters and their relatives. Zbornik radova, Tome 22 (2025) no. 30, p. 375 . doi: 10.64191/zr24040410111
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     title = {Order structure of {P-point} ultrafilters and their relatives},
     journal = {Zbornik radova},
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     year = {2025},
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     doi = {10.64191/zr24040410111},
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