Let $\mathcal{E}_{\lambda}$ be the set of all elementary embeddings $j:V_{\lambda}\rightarrow V_{\lambda}$. Then $\mathcal{E}_{\lambda}$ can be endowed with a self-distributive operation $*$ where $j*k=\bigcup_{\alpha<\lambda}j(k|_{V_{\alpha}})$.

Suppose that $j_{1},...,j_{n}\in\mathcal{E}_{\lambda}$. Then do there exist some $j,k,l\in\mathcal{E}_{\lambda}$ where $j*j_{1},...,j*j_{n}\in\langle k,l\rangle$ (I am slightly more interested in when the closure is the closure only under $*$ instead of the closure under both $*$ and $\circ$)?


Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.