منابع مشابه
Definably compact abelian groups
Let M be an o–minimal expansion of a real closed field. Let G be a definably compact definably connected abelian n–dimensional group definable in M. We show the following: the o–minimal fundamental group of G is isomorphic to Z; for each k > 0, the k–torsion subgroup of G is isomorphic to (Z/kZ), and the o–minimal cohomology algebra over Q of G is isomorphic to the exterior algebra over Q with ...
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These notes are a gloss on the first chapter of Walter Rudin’s Fourier Analysis on Groups, and may be helpful to someone reading Rudin. The results I do prove are proved in more detail than they are in Rudin. I caution that before reading the first chapter of that book it is know about the Gelfand transform on commutative Banach algebras because results from that are used without even stating t...
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LetN an o-minimal expansion of a real closed field. We develop the cohomology theory for the category ofN -definable manifolds with continuous N -definable maps and use this to solve the Peterzil-Steinhorn problem [ps] on the existence of torsion points onN -definably compact N -definable abelian groups. Namely we prove the following result: Let G be an N -definably compact N -definably connect...
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ژورنال
عنوان ژورنال: Journal of Mathematical Logic
سال: 2004
ISSN: 0219-0613,1793-6691
DOI: 10.1142/s0219061304000358