Millennium / Mathematics
Sunflower Endpoint Rigidity and Kernel-Forced AASC Transfer
Overview This record contains Sunflower Endpoint Rigidity and Kernel-Forced AASC Transfer , a manuscript developing an AASC endpoint-transfer treatment of the Erdős-Rado sunflower endpoint. The paper works on the fixed core-petal carrier for (n)-uniform families. For a family [ \mathcal F\subseteq \binom{U}{n}, ] and each candidate core (C\subseteq U), the residual petal family is defined by [ \mathcal F_C={S\setminus C:S\in\mathcal F,\ C\subseteq S}. ] The sunflower endpoint is then expressed as the role-cardin...