JP Journal of Geometry and Topology
Volume 5, Issue 2, Pages 97 - 101
(July 2005)
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TWISTED SERRE’S SPECTRAL SEQUENCE AND SHAPIRO’S LEMMA
Daciberg Gonçalves (Brasil) and Peter Wong (USA)
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Abstract: In 1953, Eckmann [Proc. Natl. Acad. Sci. U. S. A. 39 (1953), 35-42] independently discovered the (cohomology version) so-called Shapiro’s Lemma. He deduced from the algebraic result a topological analog. In this note, we use a Serre’s spectral sequence with local coefficients to give a direct proof of a topological analog of the Shapiro’s Lemma in homology and in cohomology. |
Keywords and phrases: Serre’s spectral sequence, local coefficients, Shapiro’s Lemma. |
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