You might enjoy
https://www.ams.org/journals/bull/2004-41-03/S0273-0979-04-01026-2/S0273-0979-04-01026-2.pdf
which explains the role that the resulting problem (representing homology class of manifolds by submanifolds/cobordisms) played in inspiring the work of René Thom on cobordism, stable homotopy theory, singularity theory...
You might enjoy
https://www.ams.org/journals/bull/2004-41-03/S0273-0979-04-01026-2/S0273-0979-04-01026-2.pdf
which explains the role that the resulting problem (representing homology class of manifolds by submanifolds/cobordisms) played in inspiring the work of René Thom on cobordism, stable homotopy theory, singularity theory...