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Nearly trivial homotopy classes between finite complexes

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Publication:1862084
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DOI10.1016/S0166-8641(01)00273-5zbMath1025.55006MaRDI QIDQ1862084

Martin Arkowitz, Jeffrey A. Strom

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)


zbMATH Keywords

cone lengthkilling lengthphantom mapscofibrationsfinite complexesweak category


Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Localization and completion in homotopy theory (55P60) Homotopy theory (55P99)




Cites Work

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  • On phantom maps and a theorem of H. Miller
  • The double suspension and exponents of the homotopy groups of spheres
  • Genetics of homotopy theory and the Adams conjecture
  • On category weight and its applications
  • Cone-length and Lusternik-Schnirelmann category
  • Homotopy limits, completions and localizations
  • Category and generalized Hopf invariants
  • THE SEMIGROUP OF SELF-HOMOTOPY CLASSES WHICH INDUCE ZERO ON HOMOTOPY GROUPS
  • Compositional Methods in Homotopy Groups of Spheres. (AM-49)
  • Phantom Maps and the Towers which Determine them
  • Infinite loop spaces and Neisendorfer localization
  • THE SPHERE, CONSIDERED AS AN H-SPACE MODp
  • Homotopy classes that are trivial mod \({\mathcal F}\)
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