Certain homotopy properties related to $\text{map}(\Sigma^n \mathbb{C} P^2,S^m)$

DOI10.4134/JKMS.j200249zbMath1471.55017arXiv1501.03242OpenAlexW3176496748MaRDI QIDQ5001923

Jin-ho Lee

Publication date: 23 July 2021

Full work available at URL: https://arxiv.org/abs/1501.03242

zbMATH Keywords

Gottlieb groupscomposition methodscohomotopy groupsevaluation fibrationshomotopy groups of mapping spaces

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Cohomotopy groups (55Q55)

Cites Work

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• Gottlieb groups of spheres
• Homotopy groups of the spaces of self-maps of Lie groups
• Every space is a path component space
• Equivalence of evaluation fibrations
• The generalized Whitehead product
• On products in homotopy groups
• On Spaces Having the Homotopy Type of a CW-Complex
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Criteria for components of a function space to be homotopy equivalent
• Self Maps of Projective Spaces
• Some Function Spaces of CW Type
• NOTE ON EXISTENCE OF THE UNSTABLE ADAMS MAP
• Gottlieb groups of function spaces
• Evaluation Subgroups of Homotopy Groups
• The evaluation map and E H P sequences

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