TL;DR
This paper advances the theory of possible cofinalities (pcf) under weak choice assumptions, extending existing theorems and exploring their implications in set theory.
Contribution
It introduces new pcf theorems assuming DC and P(Y), broadening the understanding of pcf with weaker choice principles.
Findings
Extended pcf theorems under weak choice assumptions
Established parallels with classical pcf results
Enhanced understanding of cofinalities in set theory
Abstract
We continue our investigation on pcf with weak form of choice. Characteristically we assume DC + P(Y) when looking and prod_{s in Y} delta_s. We get more parallel of theorems on pcf.
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TopicsSoft tissue tumor case studies