Homologies are infinitely complex

Autor

  • András Szűcs Eotvos Lor and University,
  • Mark Grant University of Aberdeen, Institute of Pure and Applied Mathematics

DOI:

https://doi.org/10.12775/TMNA.2015.003

Słowa kluczowe

Homology of manifolds, realizing homology classes, Pontryagin-Thom construction for stratified sets, double-point co-oriented maps

Abstrakt

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.
Vol 45, No 1 (March 2015)

Pobrania

Opublikowane

2015-03-01

Jak cytować

1.
SZŰCS, András & GRANT, Mark. Homologies are infinitely complex. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2015, T. 45, nr 1, s. 55–62. [udostępniono 8.7.2025]. DOI 10.12775/TMNA.2015.003.

Numer

Vol 45, No 1 (March 2015)

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