Homotopy Invariance of Transverse Homology Functors
Dragotti, Sara ; Magro, Gaetano ; Parlato, Lucio
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 433-439 / Harvested from Biblioteca Digitale Italiana di Matematica

We construct, here, transverse homology functors, and we prove their invariance with respect to a suitable definition of homotopy.

In questa nota vengono costruiti i funtori omologia trasversa, associati ciascuno ad una perversità, e viene provata la loro invarianza rispetto ad una opportuna definizione di omotopia.

Publié le : 2007-06-01
@article{BUMI_2007_8_10B_2_433_0,
     author = {Sara Dragotti and Gaetano Magro and Lucio Parlato},
     title = {Homotopy Invariance of Transverse Homology Functors},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {433-439},
     zbl = {1178.55006},
     mrnumber = {2339451},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_2_433_0}
}
Dragotti, Sara; Magro, Gaetano; Parlato, Lucio. Homotopy Invariance of Transverse Homology Functors. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 433-439. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_2_433_0/

[1] Akin, E., Manifold phenomena in the theory of polyhedra, Trans. Amer. Math. Soc., 143 (1969), 413-473. | MR 253329 | Zbl 0195.53702

[2] Buoncristiano, S. - Rourke, C. P. - Sanderson, B. J., A geometric approach in homology theory, Cambridge University Press - London - New York, 1976. | MR 413113 | Zbl 0315.55002

[3] Dragotti, S. - Magro, G. - Parlato, L., Transverse homology groups, to appear on the Bollettino UMI. | MR 2204901 | Zbl 1150.55001

[4] Goresky, M. - Macpherson, R., Intersection homology theory, Topology, Vol. 19 (1979), 135-162. | MR 572580 | Zbl 0448.55004

[5] Mccrory, C., Stratified general position, Algebraic and Geometric Topology, Springer Lecture Notes in Mathematics, n. 664, Springer-Verlag, New York (1978), 142-146. | MR 518413

[6] Rourke, C. P. - Sanderson, B. J., Introduction to PL topology, Ergeb. Mat. Band. 69, Springer-Verlag, Berlin and New York, 1972. | Zbl 0254.57010