Real Lie groups and o-minimality
Annalisa Conversano, Alf Onshuus, Sacha Post
TL;DR
This paper characterizes which real Lie groups can be defined within o-minimal structures, providing a classification up to Lie isomorphism.
Contribution
It offers a classification of real Lie groups that are definable in o-minimal expansions of the real field, up to Lie isomorphism.
Findings
Characterization of definable real Lie groups
Classification up to Lie isomorphism
Connection between Lie groups and o-minimal structures
Abstract
We characterize, up to Lie isomorphism, the real Lie groups that are definable in an o-minimal expansion of the real field.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra