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.

DOI

10.3906/mat-1807-82

First Page

2287

Last Page

2298

Recommended Citation

BUIJS, U, GARVIN, A, & MURILLO, A (2019). Rational maps from Euclidean configuration spaces to spheres. Turkish Journal of Mathematics 43 (5): 2287-2298. https://doi.org/10.3906/mat-1807-82

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