nLab
Pontrjagin ring

Contents

Contents

Idea

The operations on an H-space XX equip its homology with the structure of ring. At least for ordinary homology this is known as the Pontrjagin ring H *(X)H_*(X) of XX.

Properties

The homological version of the group completion theorem relates the Pontrjagin ring of a topological monoid AA to that of its group completion ΩBA\Omega B A.

References

See also

Last revised on October 10, 2019 at 06:19:25. See the history of this page for a list of all contributions to it.