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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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An "existence contra partition of unity" statement for integer matrices?

I believe that what you say is true. I'll sketch an argument. Let f:Zn ---> Z2n be the map of free Z-modules given by the matrices B1, B2 put in column (i.e. the direct sum of the morphisms given by …
Abdó Roig-Maranges's user avatar