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Mar 25 |
revised |
Rigid fields containing $\mathbb{C}$
added 120 characters in body |
Mar 25 |
comment |
Rigid fields containing $\mathbb{C}$
Also, is the extension you talked about rigid as a (abstract) field or as a $\mathbb{C}$-algebra? |
Mar 25 |
comment |
Rigid fields containing $\mathbb{C}$
Dear Emil: could you send me a copy please on hollowdead1@gmail.com? |
Mar 22 |
revised |
Rigid fields containing $\mathbb{C}$
added 76 characters in body |
Mar 22 |
comment |
Rigid fields containing $\mathbb{C}$
In the comments to the answer to the linked question, they said the methods applied so far cannot avoid a jump in cardinality. |
Mar 22 |
revised |
Rigid fields containing $\mathbb{C}$
added 13 characters in body |
Mar 22 |
comment |
Rigid fields containing $\mathbb{C}$
Ok you are right, Unique should mean as a field. I don't know about a reference that there is no field of cardinality $2^{\aleph_0}$ which contains $\mathbb{C}$ and which has trivial automorphism group (over $\mathbb{Q}$). |
Mar 22 |
comment |
Rigid fields containing $\mathbb{C}$
Thank you; Maybe "unique" should mean as a $\mathbb{C}$-field. |
Mar 22 |
revised |
Rigid fields containing $\mathbb{C}$
added 190 characters in body |
Mar 22 |
asked | Rigid fields containing $\mathbb{C}$ |
Mar 17 |
comment |
Automorphisms of $\mathbb{C}$ and meromorphic functions
Yes, all constants of $\mathbb{C}$ are in. You can take it $L=(+,\cdot, 0,1) \cup\mathbb{C}$. |
Mar 17 |
revised |
Automorphisms of $\mathbb{C}$ and meromorphic functions
added 66 characters in body |
Mar 17 |
comment |
Automorphisms of $\mathbb{C}$ and meromorphic functions
You cannot use complex conjugation, since it already implicitly defines $\mathbb{R}$. |
Mar 17 |
revised |
Automorphisms of $\mathbb{C}$ and meromorphic functions
added 2 characters in body |
Mar 17 |
revised |
Automorphisms of $\mathbb{C}$ and meromorphic functions
deleted 52 characters in body |
Mar 17 |
asked | Automorphisms of $\mathbb{C}$ and meromorphic functions |
Jan 20 |
awarded | Citizen Patrol |
Jan 16 |
accepted | Cardinality of an ultraproduct |
Jan 15 |
revised |
Cardinality of an ultraproduct
added 211 characters in body |
Jan 15 |
revised |
Cardinality of an ultraproduct
added 69 characters in body |