Title of article
Rational category and cone length of poincaré complexes
Author/Authors
Cornea، نويسنده , , Octavian and Félix، نويسنده , , Yves and Lemaire، نويسنده , , Jean-Michel، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1998
Pages
6
From page
743
To page
748
Abstract
We prove the so-called Lemaire-Sigrist conjecture for 1-connected Poincaré complexes, namely that for such spaces rational Lusternik-Schnirelmann category equals rational cone length. We also prove that the attachment of the top cell in such a space raises rational L-S category by one.
Keywords
Poincaré duality , Lusternik-Schnirelmann category , cone length , rational homotopy
Journal title
Topology
Serial Year
1998
Journal title
Topology
Record number
1544842
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