Borsuk-Ulam type theorems for compact Lie group actions

Authors:
Yasuhiro Hara and Norihiko Minami

Journal:
Proc. Amer. Math. Soc. **132** (2004), 903-909

MSC (2000):
Primary 58E40, 55R12, 55N20; Secondary 55R35

Published electronically:
August 28, 2003

MathSciNet review:
2019972

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-03-07021-7

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

Published electronically:
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

Article copyright:
© Copyright 2003
American Mathematical Society