Spaces of Rational Loops on a Real Projective Space

Details Spaces of Rational Loops on a Real Projective Space Spaces of Rational Loops on a Real Projective Space

1998-10-02

arxiv.org/abs/math/9810012v1

Mathematics

Algebraic Topology

AMS-LaTeX, 11 pages, 2 figures

Scientific paper

We show that the loop spaces of real projective spaces are topologically
approximated by the spaces of rational maps from RP(1) to 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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