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A topological resolution theorem

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Bibliography

  1. J. F. Adams, Stable homotopy and generalized homology,Mathematics Lecture Notes, University of Chicago, Ill. (1971).

    Google Scholar 

  2. S. Akbulut andH. King, Real algebraic structures on topological spaces,Publ. Math. I.H.E.S.,53 (1981), 79–162.

    MATH  Google Scholar 

  3. W. Browder, A. Liulevicius andF. Peterson, Cobordism theories,Ann. of Math.,84 (1966), 91–101.

    Article  Google Scholar 

  4. E. Brown, Cohomology theories,Ann. of Math.,75 (1962), 467–484.

    Article  Google Scholar 

  5. G. Brumfiel, Realizing homology classes by PL manifolds, inAlgebraic and Geometric Topology, Lecture Notes in Math.,664, Springer-Verlag, 43–60 (1978).

    Article  Google Scholar 

  6. G. Brumfiel, I. Madson andR. J. Milgram, PL characteristic classes and cobordism,Ann. of Math.,97 (1973), 82–159.

    Article  Google Scholar 

  7. H. Hironaka, Resolution of singularities of an algebraic variety over a field of characteristic zero: I, II,Ann. of Math.,79 (1964), 109–326.

    Article  Google Scholar 

  8. M. Hirsch, Differential Topology,Graduate Texts in Math.,33, Springer-Verlag (1976).

  9. M. Hirsch andB. Mazur, Smoothings of piecewise-linear manifolds,Annals of Math. Studies,80, Princeton Univ. Press (1974).

  10. R. Lashof, Poincaré duality and cobordism,Trans. Amer. Math. Soc.,109 (1963), 257–277.

    Article  MATH  Google Scholar 

  11. N. Levitt, Exotic singular structures on spheres,Trans. Amer. Math. Soc.,205 (1975), 371–388.

    Article  MATH  Google Scholar 

  12. S. MacLane, Coherence and canonical maps,Symposia Mathematica,IV (1970), 231–241.

    Google Scholar 

  13. N. Martin andC. R. F. Maunder, Homology cobordism bundles,Topology,10 (1970), 93–110.

    Article  Google Scholar 

  14. J. Munkres, Elementary Differential Topology,Annals of Math. Studies,54, Princeton Univ. Press (1965).

  15. J. Nash, Real algebraic manifolds,Ann. of Math.,56 (1952), 405–421.

    Article  Google Scholar 

  16. C. Rourke andB. Sanderson, Introduction to Piecewise-Linear Topology,Ergeb. der Math. u. ihrer Grenzgeb.,69, Springer-Verlag (1972).

  17. L. Taylor, 2-local cobordism theories,Jour. London Math. Soc.,14 (1976), 303–308.

    Article  MATH  Google Scholar 

  18. R. Thom, Quelques propriétés globales des variétés différentiables,Comment. Math. Helv.,28 (1954), 17–86.

    Article  MATH  Google Scholar 

  19. A. Tognoli, Su una congettura di Nash,Annali Scuola Norm. Sup., Pisa,27 (1973), 167–185.

    MATH  Google Scholar 

  20. C. T. C. Wall, Classification problems in differential topology: IV. Thickenings,Topology,5 (1966), 73–94.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute for Advanced Study, 08540, Princeton, N.J.

    Selman Akbulut & Laurence Taylor

  2. University of Notre Dame, 46556, Notre Dame, Ind.

    Selman Akbulut & Laurence Taylor

Authors
  1. Selman Akbulut
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  2. Laurence Taylor
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Additional information

Partially supported by NSF Grants MCS 77-01763 and MCS 76-07158, respectively.

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Akbulut, S., Taylor, L. A topological resolution theorem. Publications Mathématiques de L’Institut des Hautes Scientifiques 53, 163–195 (1981). https://doi.org/10.1007/BF02698689

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  • DOI: https://doi.org/10.1007/BF02698689

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