Homologies are infinitely complex
DOI:
https://doi.org/10.12775/TMNA.2015.003Keywords
Homology of manifolds, realizing homology classes, Pontryagin-Thom construction for stratified sets, double-point co-oriented mapsAbstract
We show that for any $k>1$, stratified sets of finite complexity are insufficient to realize all homology classes of codimension $k$ in all smooth manifolds. We also prove a similar result concerning smooth generic maps whose double-point sets are co-oriented.Downloads
Published
2015-03-01
How to Cite
1.
SZŰCS, András and GRANT, Mark. Homologies are infinitely complex. Topological Methods in Nonlinear Analysis. Online. 1 March 2015. Vol. 45, no. 1, pp. 55 - 62. [Accessed 26 April 2024]. DOI 10.12775/TMNA.2015.003.
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0