Homotopy Invariance of Transverse Homology Functors
Sara Dragotti; Gaetano Magro; Lucio Parlato
Bollettino dell'Unione Matematica Italiana (2007)
- Volume: 10-B, Issue: 2, page 433-439
- ISSN: 0392-4041
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topDragotti, Sara, Magro, Gaetano, and Parlato, Lucio. "Homotopy Invariance of Transverse Homology Functors." Bollettino dell'Unione Matematica Italiana 10-B.2 (2007): 433-439. <http://eudml.org/doc/290372>.
@article{Dragotti2007,
abstract = {We construct, here, transverse homology functors, and we prove their invariance with respect to a suitable definition of homotopy.},
author = {Dragotti, Sara, Magro, Gaetano, Parlato, Lucio},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {433-439},
publisher = {Unione Matematica Italiana},
title = {Homotopy Invariance of Transverse Homology Functors},
url = {http://eudml.org/doc/290372},
volume = {10-B},
year = {2007},
}
TY - JOUR
AU - Dragotti, Sara
AU - Magro, Gaetano
AU - Parlato, Lucio
TI - Homotopy Invariance of Transverse Homology Functors
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/6//
PB - Unione Matematica Italiana
VL - 10-B
IS - 2
SP - 433
EP - 439
AB - We construct, here, transverse homology functors, and we prove their invariance with respect to a suitable definition of homotopy.
LA - eng
UR - http://eudml.org/doc/290372
ER -
References
top- AKIN, E., Manifold phenomena in the theory of polyhedra, Trans. Amer. Math. Soc., 143 (1969), 413-473. Zbl0195.53702MR253329DOI10.2307/1995257
- BUONCRISTIANO, S. - ROURKE, C. P. - SANDERSON, B. J., A geometric approach in homology theory, Cambridge University Press - London - New York, 1976. Zbl0315.55002MR413113
- DRAGOTTI, S. - MAGRO, G. - PARLATO, L., Transverse homology groups, to appear on the Bollettino UMI. Zbl1150.55001MR2204901
- GORESKY, M. - MACPHERSON, R., Intersection homology theory, Topology, Vol. 19 (1979), 135-162. Zbl0448.55004MR572580DOI10.1016/0040-9383(80)90003-8
- MCCRORY, C., Stratified general position, Algebraic and Geometric Topology, Springer Lecture Notes in Mathematics, n. 664, Springer-Verlag, New York (1978), 142-146. MR518413
- ROURKE, C. P. - SANDERSON, B. J., Introduction to PL topology, Ergeb. Mat. Band. 69, Springer-Verlag, Berlin and New York, 1972. Zbl0254.57010
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