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Borsuk-Ulam type theorems for compact Lie group actions

Author(s): Yasuhiro Hara; Norihiko Minami
Journal: Proc. Amer. Math. Soc. 132 (2004), 903-909.
MSC (2000): Primary 58E40, 55R12, 55N20; Secondary 55R35
Posted: August 28, 2003
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Abstract: Borsuk-Ulam type theorems for arbitrary compact Lie group actions are proven. The transfer plays a major role in this approach.

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Additional Information:

Yasuhiro Hara
Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Osaka, Japan
Email: hara@math.sci.osaka-u.ac.jp

Norihiko Minami
Affiliation: Department of Mathematics, Nagoya Institute of Technology, Gokiso, Showa-ku, Nagoya 466-8555, Japan
Email: minami.norihiko@nitech.ac.jp

DOI: 10.1090/S0002-9939-03-07021-7
PII: S 0002-9939(03)07021-7
Keywords: Borsuk-Ulam type theorems, transfer, generalized cohomology theories
Received by editor(s): March 22, 2002
Received by editor(s) in revised form: August 12, 2002 and October 25, 2002
Posted: August 28, 2003
Additional Notes: The second author was partially supported by Grant-in-Aid for Scientific Research No. 13440020, Japan Society for the Promotion of Science
Communicated by: Paul Goerss
Copyright of article: Copyright 2003, American Mathematical Society

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