The rational homotopy type of elliptic spaces up to cohomological dimension 8

The rational homotopy type of elliptic spaces up to cohomological dimension 8

Our goal in this paper is to give a full classification of the rational homotopy type of any elliptic and simply connected space when the sum of its Betti numbers is less or equal than 8.

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Veröffentlicht in:Afrika mathematica 2016-09, Vol.27 (5-6), p.851-864
Hauptverfasser: Hilali, Mohamed Rachid, Mamouni, My Ismail, Yamoul, Hicham
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
History of Mathematical Sciences
Mathematics
Mathematics and Statistics
Mathematics Education
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Zusammenfassung:Our goal in this paper is to give a full classification of the rational homotopy type of any elliptic and simply connected space when the sum of its Betti numbers is less or equal than 8.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-015-0377-9