Rank of the fundamental group of any component of a function space

DOI10.1090/S0002-9939-07-08746-1zbMath1116.55006arXivmath/0502311OpenAlexW2027232286MaRDI QIDQ3438132

Samuel Bruce Smith, Gregory Lupton

Publication date: 15 May 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502311

zbMATH Keywords

nilpotent spacefundamental grouprational homotopyminimal modelFunction spaces

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homotopy groups of special spaces (55Q52)

Related Items

Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences ⋮ The evaluation subgroup of a fibre inclusion

Cites Work

• Rationalized evaluation subgroups of a map. I: Sullivan models, derivations and \(G\)-sequences
• The rational homotopy Lie algebra of function spaces
• Sur l'homotopie rationnelle des espaces fonctionnels
• Algèbre de Lie de dérivations de certaines algèbres pures
• On Spaces Having the Homotopy Type of a CW-Complex
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Finiteness in the Minimal Models of Sullivan
• On the rational homotopy type of function spaces
• Rational Homotopy of the Space of Sections of a Nilpotent Bundle
• Topology of Lie groups and characteristic classes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item