Approximation axiomatique à la théorie du bordisme
Ayala, R. ; Dominguez, E. ; Quintero, A.
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 30 (1989), p. 189-212 / Harvested from Numdam
Publié le : 1989-01-01
@article{CTGDC_1989__30_3_189_0,
     author = {Ayala, R. and Dominguez, E. and Quintero, A.},
     title = {Approximation axiomatique \`a la th\'eorie du bordisme},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {30},
     year = {1989},
     pages = {189-212},
     mrnumber = {1029624},
     zbl = {0679.55003},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/CTGDC_1989__30_3_189_0}
}
Ayala, R.; Dominguez, E.; Quintero, A. Approximation axiomatique à la théorie du bordisme. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 30 (1989) pp. 189-212. http://gdmltest.u-ga.fr/item/CTGDC_1989__30_3_189_0/

1 E. Akin, Stiefel-Whitney homology classes and bordism, Trans. A.M.S. 205 (1975), 341-359. | MR 358829 | Zbl 0369.57006

2 S. Buoncristino, C. Rourke& B. Sanderson, A geometric approach to Homology Theory. Lecture Notes Ser. 18, Cambridge Univ. Press, 1976. | MR 413113 | Zbl 0315.55002

3 Z. Cerin, On various relative proper homotopy groups, Tsukuba J. Math. 4-2 (1980), 177-202. | MR 623435 | Zbl 0469.55011

4 P.E. Conner& E.E. Floyd, Differentiable periodic maps, Ergeb. Ser. 33, Springer 1964. | MR 176478 | Zbl 0125.40103

5 E. Dominguez, Grupos de seudobordismo, Rev. Acad. Cienc. Zaragoza 30 (1975), 5-16. | MR 407849 | Zbl 0318.57041

6 E. Dominguez. Axiomas para una teoria de bordismo singular, Rev. Acad. Cienc. Madrid 70 (1976), 575-582.

7 E. Dominguez, Bordisme infini, Seminar on Foliations, Jagiellonian University, Krakow (1983), 28-34.

8 H. Herrlich & G.E. Strecker, Category Theory, Allyn & Bacon 1973. | MR 349791 | Zbl 0265.18001

9 I. Madsen & J. Milgram, The classifying spaces for surgery, and cobordism of manifolds, Princeton Univ. Press 1979. | MR 548575 | Zbl 0446.57002

10 C. Mccrory, Geometric homology operations, Studies in Algebraic Topology 5, Acad. Press (1979), 119-141. | MR 527247 | Zbl 0454.55014

11 A. Quintero. Un ejemplo de teoria de bordismo equivalente al PL-bordismo. Rev. Acad. Cienc. Zaragoza 38 (1983). 15-20. | Zbl 0557.57015

12 A. Quintero. Un ejemplo de teoria de bordismo sin pushouts. Actas X Jorn. Hispano-Lusas de Matematicas, Sec. Topol., Murcia (1985). 106-111.

13 A. Quintero, Algunos resultados sobre el bordismo de las variedades de homologia. Rev. Real Acad. Cienc. Madrid 81 (1987). 73-85. | Zbl 0635.57012

14 J. Sancho, Bordismo multivaluado (En préparation).

15 L. Siebenmann. Topological manifolds, Proc. I.C.M. vol. 2, Gauthiers-Villars (1971). 133-163. | MR 423356 | Zbl 0224.57001

16 R. Stong. Notes on cobordism theory, Princeton Univ. Press 1968. | MR 248858 | Zbl 0181.26604

17 W. Strother. Continuous multivaluated functions, Bol. Soc. Sao Paulo 10 (1958). 87-110. | MR 122961 | Zbl 0097.38602

18 M. Takahashi. The ordinary Z2-homology and singular bordism theories. J. Math. Soc. Japan 30 (1978), 433-446. | MR 494069 | Zbl 0388.55005