Skip to main content

On homotopy classification problems of J.H.C. whitehead

Part of the Lecture Notes in Mathematics book series (2766,volume 1172)

Keywords

  • Abelian Group
  • Exact Sequence
  • Short Exact Sequence
  • Homotopy Type
  • Homotopy Group

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature

  1. Baues HJ (1977) Obstruction theory. Lecture Notes in Math 628. Springer Verlag

    Google Scholar 

  2. Baues HJ, Lemaire JM (1977) Minimal models in homotopy theory. Math Ann 225:219–242

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Baues HJ: Homotopical algebra and algebraic homotopy. Preprint (700 pages)

    Google Scholar 

  4. Baues HJ: Homotopy classification. Preprint (300 pages)

    Google Scholar 

  5. Brown EH, Copeland AH (1959) Homology analogue of Postnikov systems. Mich Math Journ 6:313–330

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. Chang SC (1950) Homotopy invariants and continuous mappings. Proc Roy Soc A 202:253–263

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Chang SC (1962) On A 2n -polyhedra. Chin Ann of Math 3(4):515–428

    Google Scholar 

  8. Chang SC (1965) Successive homology operations and their applications. Cahiers de Top. et Geom Diff Vol VIII:1–5

    Google Scholar 

  9. Chow S-K (1964) Cohomology operations and homotopy type II. Scienta Sinica Vol XIII 7:1033–1043

    MathSciNet  MATH  Google Scholar 

  10. Dold A, Thom R (1958) Quasifaserungen und unendliche symmetrische Produkte. Ann of Math 67:239–281

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. Freedman MH (1982) The topology of four dimensional manifolds. J Diff Geom 17:357–453

    MathSciNet  MATH  Google Scholar 

  12. Henn HW (1983) Klassifikation niedrigdimensionaler p-lokaler Spektren. Dissertation Heidelberg

    Google Scholar 

  13. Hilton PJ (1951) Calculating the homotopy groups of A 2n -polyhedra II. Quart J Math Oxford (2) 2:228–240

    CrossRef  Google Scholar 

  14. Hilton PJ (1953) An introduction to homotopy theory. Cambridge

    Google Scholar 

  15. Hilton PJ (1965) Homotopy theory and duality. Gordon and Breach Science Publishers, Inc.

    Google Scholar 

  16. Hirzebruch F, Neumann WD, Koh SS (1971) Differentiable manifolds and quadratic forms. Dekker, New York, 120 pages

    MATH  Google Scholar 

  17. Kan MD (1960) Homotopy groups, commutators, and Γ-groups. Illinois J Math 4:1–8

    MathSciNet  MATH  Google Scholar 

  18. Schmidt T (1984) Berechnung der Homotopiekategorie der (n-1)-fach zusammenhängenden (n+2)-dimensionalen Polyeder für n > 3. Diplomarbeit Math. Institut der Universität Bonn

    Google Scholar 

  19. Shiraiwa K (1954) On the homotopy type of an A 3n -polyhedron, n ≧3. Ann J of Math 76:235–245

    MathSciNet  MATH  Google Scholar 

  20. Stöcker R (1982) On the structure of 5-dimensional Poincaré duality spaces. Comment Math Helv 57:481–510

    CrossRef  MathSciNet  Google Scholar 

  21. Whitehead JHC (1949) On simply connected 4-dimensional polyhedra. Comm Math Helv 22:48–92

    CrossRef  MathSciNet  MATH  Google Scholar 

  22. Whitehead JHC (1948) The homotopy type of a special kind of polyhedron. Ann Soc Math Pol 21:176–186

    MathSciNet  MATH  Google Scholar 

  23. Whitehead JHC (1950) A certain exact sequence. Ann of Math 52:51–110

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Baues, H.J. (1985). On homotopy classification problems of J.H.C. whitehead. In: Smith, L. (eds) Algebraic Topology Göttingen 1984. Lecture Notes in Mathematics, vol 1172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074422

Download citation

  • DOI: https://doi.org/10.1007/BFb0074422

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16061-8

  • Online ISBN: 978-3-540-39745-8

  • eBook Packages: Springer Book Archive