Spaces of rational loops on a real projective space

Mostovoy, Jacob

doi:10.1090/S0002-9947-01-02644-7

Spaces of rational loops on a real projective space
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by Jacob Mostovoy PDF

Trans. Amer. Math. Soc. 353 (2001), 1959-1970 Request permission

Abstract:

We show that the loop spaces on real projective spaces are topologically approximated by the spaces of rational maps $\mathbf {RP}^{1}\rightarrow \mathbf {RP}^{n}$. As a byproduct of our constructions we obtain an interpretation of the Kronecker characteristic (degree) of an ornament via particle spaces.

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