- Turkish Journal of Mathematics
- Vol: 43 Issue: 5
- Rational maps from Euclidean configuration spaces to spheres
Rational maps from Euclidean configuration spaces to spheres
Authors : Urtzi Buijs, Antonio Garvin, Aniceto Murillo
Pages : 2287-2298
View : 8 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this note we give an algorithm to determine the rational homotopy type of the free and pointed mapping spaces $\map(F(\br^m,k),\bs^n)$ and $\map^*(F(\br^m,k),\bs^n)$. An explicit description of these spaces is given for $k=3$. The general case for $n$ odd is also presented as an immediate consequence of the rational version of a classical result of Thom.Keywords :