Geodesic
L-theory for local systems of homotopy coalgebras and the exact sequence for surgery
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 797-828

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In this work various versions of L-theory for local systems of homotopy coalgebras over simplicial complexes are developed. The relation to L-theory for local systems of chain complexes is examined. We give a construction of $\Omega$-spectra whose homotopy groups are equal to the corresponding bordism groups of local systems of homotopy Poincare coalgebras. By means of these $\Omega$-spectra the exact sequence for surgery in L-theory for homotopy coalgebras is obtained. 
@article{FPM_2001_7_3_a12,
     author = {S. V. Lapin},
     title = {L-theory for local systems of homotopy coalgebras and the exact sequence for surgery},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {797--828},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a12/}
}
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S. V. Lapin. L-theory for local systems of homotopy coalgebras and the exact sequence for surgery. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 797-828. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a12/