Criteria for components of a function space to be homotopy equivalent

DOI10.1017/S0305004108001175zbMath1151.55006arXivmath/0609650OpenAlexW1982204761MaRDI QIDQ3514876

Samuel Bruce Smith, Gregory Lupton

Publication date: 23 July 2008

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

Full work available at URL: https://arxiv.org/abs/math/0609650

zbMATH Keywords

group-like actions

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) (H)-spaces and duals (55P45)

Related Items

Certain homotopy properties related to $\text{map}(\Sigma^n \mathbb{C} P^2,S^m)$ ⋮ Evaluation fibrations and path-components of the mapping space \(M(\mathbb{S}^{n+k},\mathbb{S}^n)\) for \(8\leq k\leq 13\) ⋮ Unnamed Item ⋮ On path-components of the mapping spaces \(M(\mathbb {S}^m,\mathbb {F}P^n)\) ⋮ Whitehead products in function spaces: Quillen model formulae ⋮ Rational homotopy types of mapping spaces via cohomology algebras

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