English

The geometry of the Hilton splitting

Geometric Topology 2007-05-23 v1 Algebraic Topology

Abstract

One of the important theorems in homotopy theory is the Hilton splitting. In this paper we will construct all the Hilton homomorphisms by geometrical means and prove a family of sharper symmetry relations of linking coefficients which desuspend and generalize the relations of Kervaire, Haefliger and Steer.

Keywords

Cite

@article{arxiv.math/0205232,
  title  = {The geometry of the Hilton splitting},
  author = {Jianhua Wang},
  journal= {arXiv preprint arXiv:math/0205232},
  year   = {2007}
}

Comments

21 pages, 4 figures, using pb-diagram.sty for diagrams

R2 v1 2026-07-22T16:45:33.416Z