FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2001, VOLUME 7, NUMBER 3, PAGES 797-828
S. V. Lapin
Abstract
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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.
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Last modified: December 23, 2001