When are Elementarily Bi-embeddable Models Isomorphic?

When are Elementarily Bi-embeddable Models Isomorphic?

by John Richard Goodrick

196 pages· 2007· ISBN 9780549167969
Join Readfeed freeFind clubs reading this bookBrowse readable books
About
We consider the following question: given a complete first-order theory T, when is it the case that any two elementarily bi-embeddable models of T are isomorphic? We call this the Schroder-Bernstein property, and we prove that if a countable theory T has this property then it must be classifiable (superstable, with NDOP and NOTOP) and nonmultidimensional. We also verify some special cases of our conjecture that a weakly minimal group G has the Schroder-Bernstein property if and only if every elementary automorphism of G/G° is unipotent, including the case when the lanugage of the structure G is simply {+}.

Discuss When are Elementarily Bi-embeddable Models Isomorphic? with other readers

Join or start a book club for When are Elementarily Bi-embeddable Models Isomorphic? on Readfeed. Live chat, shared reading progress, and AI discussion questions — free to get started.

Sign up freeBrowse book clubs

Frequently asked questions

How do I join a book club for When are Elementarily Bi-embeddable Models Isomorphic??

Sign up free on Readfeed, then browse public clubs or start your own club with When are Elementarily Bi-embeddable Models Isomorphic? as the current read. Invite friends with a share link and discuss together with live chat and AI discussion questions.

Can I discuss When are Elementarily Bi-embeddable Models Isomorphic? with other readers online?

Yes. Readfeed book clubs let you chat live, share progress, and join discussions about When are Elementarily Bi-embeddable Models Isomorphic? with readers worldwide — whether your club is virtual, in-person, or hybrid.

Is Readfeed free?

Yes. Creating an account and joining book clubs is free. Sign up to find readers who love the same books and start discussing today.