The Lefschetz-Hopf theorem and axioms for the Lefschetz number
The reduced Lefschetz number, that is, L(⋅)−1 where L(⋅) denotes the Lefschetz number, is proved to be the unique integer-valued function λ on self-maps of compact polyhedra which is constant on homotopy classes such that (1) λ(fg)=λ(gf) for f:X→Y and g:Y→X; (2) if...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2004-03-01
|
| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/S1687182004308120 |