Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism

R. Benedetti; M. Dedò

Compositio Mathematica (1984)

  • Volume: 53, Issue: 2, page 143-151
  • ISSN: 0010-437X

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Benedetti, R., and Dedò, M.. "Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism." Compositio Mathematica 53.2 (1984): 143-151. <http://eudml.org/doc/89681>.

@article{Benedetti1984,
author = {Benedetti, R., Dedò, M.},
journal = {Compositio Mathematica},
keywords = {fundamental classes; topology of real algebraic sets},
language = {eng},
number = {2},
pages = {143-151},
publisher = {Martinus Nijhoff Publishers},
title = {Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism},
url = {http://eudml.org/doc/89681},
volume = {53},
year = {1984},
}

TY - JOUR
AU - Benedetti, R.
AU - Dedò, M.
TI - Counterexamples to representing homology classes by real algebraic subvarieties up to homeomorphism
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 53
IS - 2
SP - 143
EP - 151
LA - eng
KW - fundamental classes; topology of real algebraic sets
UR - http://eudml.org/doc/89681
ER -

References

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  2. [AK2] S. Akbulut and H. King: The topology of real algebraic sets. Lecture given at Arcata (1981). Zbl0537.14018
  3. [BD] R. Benedetti and M Dedò:A cycle is the fundamental class of an Euler space. Proc. Amer. Math. Soc.87 (1983) 169-174. Zbl0557.57009MR677255
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  6. [BT] R. Benedetti and A. Tognoli: Remarks and counterexamples in the theory of real algebraic vector bundles and cycles., Springer Lecture Notes n° 959 (1982) 198-211. Zbl0498.14015MR683134
  7. [BrT] L. Beretta and A. Tognoli: Some basic facts in algebraic geometry on a non-algebraically closed field. Ann. S.N.S. Pisa, Vol. III(IV) (1976) 341-359. Zbl0353.14001MR429902
  8. [G] A. Grothendieck: La théorie des classes de Chern. Bull. Soc. Math. France86 (1958) 137-154. Zbl0091.33201MR116023
  9. [H] H. Hironaka: Smoothing of algebraic cycles of low dimensions. Amer. J. Math.90 (1968) 1-54. Zbl0173.22801MR224611
  10. [R] J. Roberts: Chow's moving lemma. Alg. Geom. Oslo1970, Wolters-Noordhoff (1972), pp. 89-96. MR382269
  11. [S] J.P. Serre: Cohomologie modulo 2 des complexes d'Eilenberg-McLane. Comm. Math. Helv.27 (1953) 198-231. Zbl0052.19501MR60234
  12. [T1] A. Tognoli: Su una congettura di Nash. Ann. S.N.S. Pisa27 (1973) 167-185. Zbl0263.57011MR396571
  13. [T2] A. Tognoli: Algebraic approximation of manifolds and spaces. Sém. Bourbaki 32ème année (1979) n°548. Zbl0456.57012
  14. [T3] A. Tognoli: Algebraic geometry and Nash functions. Institutiones Math. Vol. III, Academic Press (1978). Zbl0418.14002MR556239
  15. [Tm] R. Thom: Quelques propriétés globales des variétés différentiables. Comm. Math. Helv.28 (1954) 17-86. Zbl0057.15502MR61823

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