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: 0392-4033

Abstract

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

How to cite

top

Dragotti, 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
  1. AKIN, E., Manifold phenomena in the theory of polyhedra, Trans. Amer. Math. Soc., 143 (1969), 413-473. Zbl0195.53702MR253329DOI10.2307/1995257
  2. BUONCRISTIANO, S. - ROURKE, C. P. - SANDERSON, B. J., A geometric approach in homology theory, Cambridge University Press - London - New York, 1976. Zbl0315.55002MR413113
  3. DRAGOTTI, S. - MAGRO, G. - PARLATO, L., Transverse homology groups, to appear on the Bollettino UMI. Zbl1150.55001MR2204901
  4. GORESKY, M. - MACPHERSON, R., Intersection homology theory, Topology, Vol. 19 (1979), 135-162. Zbl0448.55004MR572580DOI10.1016/0040-9383(80)90003-8
  5. MCCRORY, C., Stratified general position, Algebraic and Geometric Topology, Springer Lecture Notes in Mathematics, n. 664, Springer-Verlag, New York (1978), 142-146. MR518413
  6. ROURKE, C. P. - SANDERSON, B. J., Introduction to PL topology, Ergeb. Mat. Band. 69, Springer-Verlag, Berlin and New York, 1972. Zbl0254.57010

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.