On the homotopy type of definable groups in an o-minimal structure
نویسندگان
چکیده
منابع مشابه
On the homotopy type of definable groups in an o-minimal structure
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known that to each such group G is associated a natural exact sequence 1→ G00 → G → G/G00 → 1 where G00 is the “infinitesimal subgroup” of G and G/G00 is a compact real Lie group. We show that given a connected open subset U of G/G00 there is a canonical isomorphism between the fundamental group of U an...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2011
ISSN: 0024-6107
DOI: 10.1112/jlms/jdq080