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New relationships between steenrod operations for certain spaces

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Abstract

In this paper, we show that under a certain technical condition, if a space has no 2-torsion, then eitherS q 2 n x≠0 or there exists somey withS q 2 n y=S q 2 n +1 x, if for somen≥3S q 2 n +1 x≠0. The proof uses relations between Steenrod operations and operations in connective realK-Theory.

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This research was partially supported by NSERC.

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Klippenstein, J. New relationships between steenrod operations for certain spaces. Acta Mathematica Sinica 8, 99–111 (1992). https://doi.org/10.1007/BF02595022

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