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Remark on Division of Concrete Number

✍ Scribed by C. H. Judson

Book ID
123796408
Publisher
Mathematical Association of America
Year
1894
Tongue
English
Weight
241 KB
Volume
1
Category
Article
ISSN
0002-9890

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We show that if G is a definably compact, definably connected definable group defined in an arbitrary o-minimal structure, then G is divisible. Furthermore, if G is defined in an o-minimal expansion of a field, k ∈ N and p k : G -β†’ G is the definable map given by p k (x) = x k for all x ∈ G, then we