Evaluation fibrations and path-components of the mapping space \(M(\mathbb{S}^{n+k},\mathbb{S}^n)\) for \(8\leq k\leq 13\)

DOI10.1007/s11253-014-0849-3zbMath1328.55011OpenAlexW2016277357MaRDI QIDQ893087

Thiago De Melo, Marek Golasiński

Publication date: 13 November 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-014-0849-3

zbMATH Keywords

path-componentGottlieb grouphomotopy equivalencemapping spacefibrewise homotopyevaluation fibration

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Fiber spaces in algebraic topology (55R05)

Related Items

On path-components of the mapping spaces \(M(\mathbb {S}^m,\mathbb {F}P^n)\)

Cites Work

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• Gottlieb groups of spheres
• Equivalence of evaluation fibrations
• Basic constructions in rational homotopy theory of function spaces
• Evaluation fibrations and path-components of the map space \(M(\mathbb S^{n+k},\mathbb S^n)\) for \(0\leq k\leq 7\).
• The homotopy groups of Lie groups of low rank
• On products in homotopy groups
• Coincidences of Fibrewise Maps Between Sphere Bundles Over the Circle
• On the Homotopy Classification of the Extensions of a Fixed Map
• Note on the Homotopy Properties of the Components of the Mapping Space X s p
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Criteria for components of a function space to be homotopy equivalent
• THE HOMOTOPY PROBLEM FOR THE COMPONENTS IN THE SPACE OF MAPS ON THE n-SPHERE
• A Certain Subgroup of the Fundamental Group
• Evaluation Subgroups of Homotopy Groups