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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