Homotopy classes that are trivial mod \({\mathcal F}\)

DOI10.2140/agt.2001.1.381zbMath0982.55009arXivmath/0106184OpenAlexW1992985458MaRDI QIDQ5938059

Martin Arkowitz, Jeffrey A. Strom

Publication date: 31 July 2001

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0106184

zbMATH Keywords

cone lengthkilling lengthnilpotency \(\text{mod }F\)phantom mapstrivial homotopy

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) (H)-spaces and duals (55P45) Homotopy groups, general; sets of homotopy classes (55Q05) Homotopy functors in algebraic topology (55P65)

Related Items (2)

Noncommutativity of the group of self homotopy classes of Lie groups ⋮ Nearly trivial homotopy classes between finite complexes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operators and cooperators in homotopy theory
• A note on the Samelson product in the classical groups
• The double suspension and exponents of the homotopy groups of spheres
• On the Lusternik-Schnirelmann category of Lie groups
• On category, in the sense of Lusternik-Schnirelmann
• Ideals in triangulated categories: Phantoms, ghosts and skeleta
• On category weight and its applications
• Self-homotopy equivalences of \(SO(4)\)
• Secondary cohomology operations induced by the diagonal mapping
• Cohomology operations and the homotopy of compact Lie groups. I
• On the groups \(H(\Pi,n)\). II
• Reduced product spaces
• THE SEMIGROUP OF SELF-HOMOTOPY CLASSES WHICH INDUCE ZERO ON HOMOTOPY GROUPS
• Spaces Associated with Stiefel Manifolds
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• Self Maps of Projective Spaces
• There is Just One Rational Cone-Length
• A bound for the nilpotency of a group of self homotopy equivalences
• Variation zum Konzept der Lusternik—Schnirelmann—Kategorie
• ON THE GROUP Aut_Ω(X)
• The self homotopy set of a Hopf-space
• The Homotopy Groups of Wedges of Suspensions
• THE SPHERE, CONSIDERED AS AN H-SPACE MOD_p

This page was built for publication: Homotopy classes that are trivial mod \({\mathcal F}\)