Emergence of the Witt group in the cellular lattice of rational spaces

Hess, Kathryn; Parent, Paul-Eugène

doi:10.1090/S0002-9947-02-03049-0

Emergence of the Witt group in the cellular lattice of rational spaces
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by Kathryn Hess and Paul-Eugène Parent

Trans. Amer. Math. Soc. 354 (2002), 4571-4583

DOI: https://doi.org/10.1090/S0002-9947-02-03049-0

Published electronically: July 2, 2002

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Abstract:

We give an embedding of a quotient of the Witt semigroup into the lattice of rational cellular classes represented by formal $2$-cones between $S^{2n}$ and the two-cell complex $X_n=S^{2n}\cup _{[\iota ,\iota ]}e^{4n}$ ($n\geq 1$).

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