nLab Baas-Sullivan theory

Contents

Context

Cohomology

cohomology

Special and general types

Special notions

Variants

Extra structure

Operations

Theorems

Manifolds and cobordisms

Contents

Idea

The Baas-Sullivan construction allows generalized cohomology theories to be seen as a cobordism theory in which the cobordisms may have singularities.

References

Some of the original work is contained in these papers:

  • Nils Andreas Baas, Bordism theories with singularities, Proceedings of the Advanced Study Institute on Algebraic Topology (Aarhus Univ., Aarhus, 1970), Vol. I, pp. 1–16. Various Publ. Ser., No. 13, Mat. Inst., Aarhus Univ., Aarhus, 1970.

  • Nils Andreas Baas, On bordism theory of manifolds with singularities, Math. Scand. 33 (1973), 279–302.

  • Nils Andreas Baas, On formal groups and singularities in complex cobordism theory, Math. Scand. 33 (1973), 303–313

Created on May 18, 2018 at 09:00:27. See the history of this page for a list of all contributions to it.