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Emergence of the Witt group in the cellular lattice of rational spaces |
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| Authors: | Kathryn Hess Paul-Eugè ne Parent |
| Affiliation: | Chaire d'Algèbre, Département de Mathématiques, Ecole Polytechnique Fédérale, 1015 Lausanne, Suisse ; Chaire d'Algèbre, Département de Mathématiques, Ecole Polytechnique Fédérale, 1015 Lausanne, Suisse |
| Abstract: | We give an embedding of a quotient of the Witt semigroup into the lattice of rational cellular classes represented by formal  -cones between  and the two-cell complex ![$X_n=S^{2n}cup_{[iota,iota]}e^{4n}$](http://www.ams.org/tran/2002-354-11/S0002-9947-02-03049-0/gif-abstract0/img3.gif){kind=small} ( ). |
| Keywords: | Cellular space quadratic form Witt group Quillen model |
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