no. 2
Vector bundles over real algebraic surfaces and threefolds
Compositio Mathematica, Tome 60 (1986) no. 2, pp. 209-225 
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     title = {Vector bundles over real algebraic surfaces and threefolds},
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     pages = {209--225},
     year = {1986},
     publisher = {Martinus Nijhoff Publishers},
     volume = {60},
     number = {2},
     mrnumber = {868138},
     zbl = {0615.14007},
     language = {en},
     url = {https://www.numdam.org/item/CM_1986__60_2_209_0/}
}
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Kucharz, Wojciech. Vector bundles over real algebraic surfaces and threefolds. Compositio Mathematica, Tome 60 (1986) no. 2, pp. 209-225. https://www.numdam.org/item/CM_1986__60_2_209_0/

[1] S. Akbulut and H. King: The topology of real algebraic sets with isolated singularities. Ann. of Math. (2) (1981) 425-446. | Zbl | MR

[2] H. Bass: Algebraic K-theory. Benjamin (1968). | Zbl | MR

[3] R. Benedetti and A. Tognoli: On real algebraic vector bundles. Bull. Sci. Math. (2) 104 (1980) 89-112. | Zbl | MR

[4] R. Benedetti and A. Tognoli: Remarks and counterexamples in the theory of real algebraic vector bundles and cycles. Lectures Notes in Math. 959 (1981) 198-211. | Zbl | MR

[5] J. Bochnak, W. Kucharz and M. Shiota: Divisor class groups of some rings of global real analytic, Nash or rational regular functions. Lecture Notes in Math. 959 (1981) 218-248. | Zbl | MR

[6] J. Bochnak, M. Coste and M.F. Roy: Géomètrie Algébrique Réelle (book in preparation). | Zbl

[7] J. Bochnak and W. Kucharz: On real algebraic morphisms into Sn, preprint.

[8] A. Borel and A. Haefliger: La classe d'homologie fondamentale d'une espace analytique. Bull. Soc. Math. France 89 (1961) 461-513. | Zbl | MR | Numdam

[9] R. Bott and L.W. Tu: Differential Forms in Algebraic Topology, GMT82, Springer-Verlag (1982). | Zbl | MR

[10] E.G. Evans Jr.: Projective modules as fibre bundles. Proc. Amer. Math. Soc. 27 (1971) 623-626. | Zbl | MR

[11] R. Fossum: Vector bundles over spheres are algebraic. Invent. Math. 8 (1969) 222-225. | Zbl | MR

[12] A.V. Geramita and L.G. Roberts: Algebraic vector bundles on projective spaces. Invent. Math. 10 (1970) 298-304. | Zbl | MR

[13] F. Hirzebruch: Topological methods in algebraic geometry. Springer-Verlag (1966). | Zbl | MR

[14] D. Husemoller: Fibre Bundles, second edition, Springer-Verlag (1975). | Zbl | MR

[15] J.P. Jouanolou: Comparson des K-theories algébrique et topologique de quelques varietes algébrique. C.R. Acad. Sc. Paris, Ser. A272 (1971) 1373-1375. | Zbl | MR

[16] M. Karoubi: K-theory. Springer-Verlag (1978). | Zbl

[17] W. Kucharz: On homology of real algebraic sets, Invent. Math. 82, 19-25 (1985). | Zbl | MR

[18] K. Lønsted: An algebrization of vector bundles on compact manifolds. Journal of Pure and Applied Algebra 2 (1972) 193-207. | Zbl

[19] N. Moore: Algebraic vector bundles over the 2-sphere. Invent. Math. 14 (1971) 167-172. | Zbl | MR

[20] J. Milnor, and J. Stasheff: Characteristic classes. Annals of Mathematics Studies 76, Princeton University Press (1974). | Zbl | MR

[21] M.P. Murthy: Vector bundles over affine surfaces birationally equivalent to a ruled surface. Ann. of Math. (2) (89) (1969) 242-253. | Zbl | MR

[22] J.J. Risler: Sur l'homologie des surface algébriques réelles. Lecture Notes in Math. 959 (1981) 381-385. | Zbl | MR

[23] L.G. Roberts: Comparison of algebraic and topological K-theory. Lecture Notes in Math. 342 (1973) 74-78. | Zbl | MR

[24] J.P. Serre: Faisceaux algébriques cohérents. Ann. of Math. 61 (1955) 197-278. | Zbl | MR

[25] R. Silhol: A bound on the order of H(a)n-1(X, Z/2) on a real algebraic variety. Lecture Notes in Math. 959 (1981) 443-450; | Zbl | MR

[26] M. Shiota: Real algebraic realization of characteristic classes. RIMS Kyoto University, 18 (2) (1982) 995-1008. | Zbl | MR

[27] E. Spanier: Algebraic Topology. McGraw-Hill Book Company: New York (1966). | Zbl | MR

[28] R.G. Swan: Vector bundles and projective modules. Trans. Amer. Math. Soc. 105 (1962) 264-277. | Zbl | MR

[29] A. Tognoli: Algebraic geometry and Nash functions. Inst. Math. Vol. III, Acad. Press London and New York (1978). | Zbl | MR