Hilton's theorem

In algebraic topology, Hilton's theorem, proved by Hilton (1955), states that the loop space of a wedge of spheres is homotopy-equivalent to a product of loop spaces of spheres.

Milnor (1972) showed more generally that the loop space of the suspension of a wedge of spaces can be written as an infinite product of loop spaces of suspensions of smash products.

References

This article is issued from Wikipedia - version of the 1/10/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.