Rational approximations of sectional category and Poincaré duality

Rational approximations of sectional category and Poincaré duality

Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toomer invariant e 0 coincide for simply connected Poincaré duality complexes. We establish an analogue of this result for the sectional category of a fibration. 2010 Mathematics Subject Classification. P...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2016-02, Vol.144 (2), p.909-915
Hauptverfasser: Carrasquel-Vera, José Gabriel, Kahl, Thomas, Vandembroucq, Lucile
Format: Artikel
Sprache:eng
Schlagworte:
G. TOPOLOGY
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Zusammenfassung:Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toomer invariant e 0 coincide for simply connected Poincaré duality complexes. We establish an analogue of this result for the sectional category of a fibration. 2010 Mathematics Subject Classification. Primary 55M30, 55P62. Key words and phrases. Lusternik-Schnirelmann category, sectional category, topological complexity, Sullivan models, Poincaré duality.
ISSN:0002-9939
1088-6826
DOI:10.1090/proc12722