On the rational topological complexity of coformal elliptic spaces

On the rational topological complexity of coformal elliptic spaces

We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rational topological complexity coincides with the dimension of the rational homotopy for some special families of coformal...

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Veröffentlicht in:Journal of pure and applied algebra 2023-07, Vol.227 (7), p.107318, Article 107318
Hauptverfasser: Hamoun, Said, Rami, Youssef, Vandembroucq, Lucile
Format: Artikel
Sprache:eng
Schlagworte:
Ciências Naturais
Elliptic spaces
Matemáticas
Rational Topological Complexity
Science & Technology
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Zusammenfassung:We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rational topological complexity coincides with the dimension of the rational homotopy for some special families of coformal elliptic spaces.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2023.107318