On resolving singularities and relating bordism to homology

S. Buoncristiano; M. Dedò

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1980)

  • Volume: 7, Issue: 4, page 605-624
  • ISSN: 0391-173X

How to cite

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Buoncristiano, S., and Dedò, M.. "On resolving singularities and relating bordism to homology." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.4 (1980): 605-624. <http://eudml.org/doc/83847>.

@article{Buoncristiano1980,
author = {Buoncristiano, S., Dedò, M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {reducing the dimension of the singular set of a cycle; representing homology classes by submanifolds; approximating bordism by homology},
language = {eng},
number = {4},
pages = {605-624},
publisher = {Scuola normale superiore},
title = {On resolving singularities and relating bordism to homology},
url = {http://eudml.org/doc/83847},
volume = {7},
year = {1980},
}

TY - JOUR
AU - Buoncristiano, S.
AU - Dedò, M.
TI - On resolving singularities and relating bordism to homology
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1980
PB - Scuola normale superiore
VL - 7
IS - 4
SP - 605
EP - 624
LA - eng
KW - reducing the dimension of the singular set of a cycle; representing homology classes by submanifolds; approximating bordism by homology
UR - http://eudml.org/doc/83847
ER -

References

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  1. [1] S. Buoncristiano - C.P. Rourke - B.J. Sanderson, A geometric approach to homology theory, London Math. Soc., Lecture Note Series, 18 (1976). Zbl0315.55002MR413113
  2. [2] P.E. Conner - E.E. Floyd, Differentiable periodic maps, Ergebnisse der Math. und Grenz., Springer Verlag, Berlin (1964), Band33. Zbl0125.40103MR176478
  3. [3] M. Hirsch - B. Mazur, Smoothings of piecewise linear manifolds, Annals of Mathematics Studies, 80 (1974). Zbl0298.57007MR415630
  4. [4] M. Kato, Topological resolution of singularities, Topology, 12 (1973), pp. 355-372. Zbl0276.55014MR339196
  5. [5] J.W. Milnor - J.D. Stasheff, Characteristic classes, Annals of Mathematics Studies, 76 (1974). Zbl0298.57008MR440554
  6. [6] C.P. Rourke - B.J. Sanderson, Introduction to piecewise linear topology, Ergebnisse der Math. und Grenz., Springer Verlag, Berlin (1972), Band 69. Zbl0254.57010MR350744
  7. [7] D. Sullivan, Singularities in spaces, Proc. of Liverpool Singularities Symposium II, Lecture Notes in Mathematics, 209 (1971), pp. 196-206. Zbl0233.57006MR339241
  8. [8] R. Thom, Quelques propriétés globales des applications différentiables, Comm. Math. Helv., 28 (1954), pp. 17-86. Zbl0057.15502MR61823
  9. [9] C.T.C. Wall, Determination of the cobordism ring, Ann. of Math., 72 (1960), pp. 292-311. Zbl0097.38801MR120654
  10. [10] E.Y. Miller, The construction of a manifold representing a homology class, preprint MIT. 
  11. [11] S. Buoncristiano - D. Hacon, An elementary geometric proof of two theorems of Thom, to appear in Topology. Zbl0456.57011MR592572
  12. [12] S. Buoncristiano - D. Hacon, The geometry of Chern numbers, to appear. Zbl0529.57017MR707157

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