Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

On the triangulation of manifolds and the Hauptvermutung


Authors: R. C. Kirby and L. C. Siebenmann
Journal: Bull. Amer. Math. Soc. 75 (1969), 742-749
DOI: https://doi.org/10.1090/S0002-9904-1969-12271-8
MathSciNet review: 0242166
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. F. T. Farrell, Thesis, Yale University, New Haven, Conn., 1967.
  • 2. F. T. Farrell and W. C. Hsiang, Manifolds with π (to appear).
  • 3. M. W. Hirsch, On non-linear cell-bundles, Ann. of Math (2) 84 (1966), 373-385. MR 200936
  • 4. W. C. Hsiang and J. L. Shaneson, Fake tori, the annulus conjecture and the conjectures of Kirby, Proc. Nat. Acad. Sci. U.S.A. (to appear). MR 270378
  • 5. R. C. Kirby, Stable homeomorphisms and the annulus conjecture, Ann. of Math. (2) 90 (1969). MR 242165
  • 6. R. C. Kirby, Announcement distributed with preprint of [5], 1968.
  • 7. R. C. Kirby and L. C. Siebenmann, A triangulation theorem, Notices Amer. Math. Soc. 16 (1969), 433.
  • 8. R. C. Kirby, L. C. Siebenmann and C. T. C. Wall, The annulus conjecture and triangulation, Notices Amer. Math. Soc. 16 (1969), 432.
  • 9. R. K. Lashof, Lees'immersion theorem and the triangulation of manifolds, Bull. Amer. Math. Soc. 75 (1969), 535-538. MR 239603
  • 10. R. K. Lashof and M. Rothenberg, Triangulation of manifolds. I, II, Bull. Amer. Math. Soc. 75 (1969), 750-754, 755-757. MR 247631
  • 11. J. A. Lees, Immersions and surgeries of topological manifolds, Bull. Amer. Math. Soc. 75 (1969), 529-534. MR 239602
  • 12. C. P. Rourke and B. J. Sanderson, On the homotopy theory of ∆-sets (toappear).
  • 13. L. C. Siebenmann, On the homotopy type of compact topological manifolds, Bull. Amer. Math. Soc. 74 (1968), 738-742. MR 227983
  • 14. D. P. Sullivan, On the hauptvermutung for manifolds, Bull. Amer. Math. Soc. 63 (1967), 598-600. MR 212811
  • 15. Sylvain Cappell, Andrew Ranicki, and Jonathan Rosenberg, C. T. C. Wall’s contributions to the topology of manifolds, Surveys on surgery theory, Vol. 1, Ann. of Math. Stud., vol. 145, Princeton Univ. Press, Princeton, NJ, 2000, pp. 3–15. MR 1747526
  • 16. C. T. C. Wall, On homotopy tori and the annulus theorem, Proc. London Math. Soc. (to appear). MR 242164
  • 17. R. C. Kirby and L. C. Siebenmann, For manifolds the Hauptvermutung and the triangulation conjecture are false, Notices Amer. Math. Soc. 16 (1969), 695.


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1969-12271-8

American Mathematical Society