Skip to main content

Manifold categories of Poincare duality spaces

Manifolds And Algebraic Topology

  • 527 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1350)

AMS Subject Classification

  • 57B10
  • 57C10
  • 57C15
  • 55C30

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   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
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.

References

  1. BROWDER W.-LIULEVICIUS A.-PETERSON F.P. Cobordism Theories. Ann. of Math. 84 (1966) 91–101.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. BROWDER W. The Kervaire invariant, products and Poincaré transversality. Topology 12 (1973) 145–158.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. CLAPP M.-PUPPE D. Invariants fo the Lusternik-Shcnirelmann type and the topology of critical sets. Trans. AMS 298 (1986) 603–620.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. ECKMANN B.-MULLER Poincaré duality groups of dimension two. Comm. Math. Helv. 55 (1980) 510–520.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. ECKMANN B.-LINNEL P. Poincaré duality groups of dimension two II. Comm. Math. Helv. 58 (1983), 111–114.

    CrossRef  MATH  Google Scholar 

  6. GITLER S.-STASHEFF J. The first exotic class of BG. Topology 4 (1965) 257–266.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. HAUSMANN J-Cl. Poincaré spaces with the homology of a sphere. Contemporary Math. 19 (1983) (Pr. Conf. Evanston 1983) 85–93.

    Google Scholar 

  8. HAUSMANN J-Cl.-VOGEL P. Geometry on Poincaré spaces. To appear in Princeton University Press.

    Google Scholar 

  9. JAMES I. On category, in the sense of Lusternik-Schnirelmann. Topology 17 (1978) 331–348.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. KIRBY R.-SIEBENMANN L. Foundational essays on topological manifolds, smoothings, and triangulations. Princeton Univ. Press 1977.

    Google Scholar 

  11. MILGRAM J. The mod 2 spherical characteristic classes. Ann. of Math. 92 (1970) 238–261.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. MILGRAM J.-MADSEN I. The classifying spaces for surgery and cobordism of manifolds. Princeton Univ. Press 1979.

    Google Scholar 

  13. MILNOR J. Construction of universal bundle I. Ann. of Math. 63 (1956) 272–284.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. MILNOR J. Construction of universal bundle II. Ann. of Math. 63 (1956) 430–436.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. ROURKE C.-SULLIVAN D. On the Kervaire obstruction. Ann. of Math. 94 (1971), 397–413.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. STONG R. Notes on cobordism theory. Princeton Univ. Press 1968.

    Google Scholar 

  17. WALL C.T.C. Surgery on compact manifolds. Academic Press 1970.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Hausmann, JC., Vogel, P. (1988). Manifold categories of Poincare duality spaces. In: Koschorke, U. (eds) Differential Topology. Lecture Notes in Mathematics, vol 1350. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081478

Download citation

  • DOI: https://doi.org/10.1007/BFb0081478

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50369-9

  • Online ISBN: 978-3-540-45990-3

  • eBook Packages: Springer Book Archive