A definable Borsuk-Ulam type theorem
نویسندگان
چکیده
Let N = (R,+, ·, <, . . . ) be an o-minimal expansion of the standard structure of a real closed field R. A definably compact definable group G is a definable Borsuk-Ulam group if there exists an isovariant definable map f : V → W between representations of G, then dimV − dimV G ≤ dimW − dimW. We prove that if a finite group G satisfies the prime condition, then G is a definable Borsuk-Ulam group. 2010 Mathematics Subject Classification. 57S10, 57S17, 55M35, 03C64.
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