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Andreas Thom
Andreas Thom
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Continuous sections of the morphism ${GL}_{n}(A) -->\to {GL}_{n}(A/I)$, where A is a topological ring and I denotes a nilpotent ideal.

For which topological rings $A$ does there exist a continuous section (as a set map at least) of the quotient morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$$GL_n(A) \to GL_n(A/I)$, where $I$ denotes a nilpotent ideal in $A$?

It should work for Frechet spaces.

Continuous sections of the morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$, where A is a topological ring and I denotes a nilpotent ideal.

For which topological rings $A$ does there exist a continuous section (as a set map at least) of the quotient morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$, where $I$ denotes a nilpotent ideal in $A$?

It should work for Frechet spaces.

Continuous sections of the morphism ${GL}_{n}(A) \to {GL}_{n}(A/I)$, where A is a topological ring and I denotes a nilpotent ideal.

For which topological rings $A$ does there exist a continuous section (as a set map at least) of the quotient morphism $GL_n(A) \to GL_n(A/I)$, where $I$ denotes a nilpotent ideal in $A$?

It should work for Frechet spaces.

added 9 characters in body; deleted 2 characters in body
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Nic Palmero
Nic Palmero
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For which topological rings $A$ does there exist a continuous section (as a set map at least) of the quotient morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$, where where $I$ denotes a nilpotent ideal in $A$?

It should work for Frechet spaces.

For which topological rings $A$ does there exist a continuous section (as a set map at least) of the morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$, where $I$ denotes a nilpotent ideal in $A$?

It should work for Frechet spaces.

For which topological rings $A$ does there exist a continuous section (as a set map at least) of the quotient morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$, where $I$ denotes a nilpotent ideal in $A$?

It should work for Frechet spaces.

Source Link
Nic Palmero
Nic Palmero
  • 91
  • 2

Continuous sections of the morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$, where A is a topological ring and I denotes a nilpotent ideal.

For which topological rings $A$ does there exist a continuous section (as a set map at least) of the morphism ${GL}_{n}(A) --> {GL}_{n}(A/I)$, where $I$ denotes a nilpotent ideal in $A$?

It should work for Frechet spaces.