Spaces of Rational Loops on a Real Projective Space
Algebraic Topology
2007-05-23 v1 Geometric Topology
Abstract
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.
Cite
@article{arxiv.math/9810012,
title = {Spaces of Rational Loops on a Real Projective Space},
author = {Jacob Mostovoy},
journal= {arXiv preprint arXiv:math/9810012},
year = {2007}
}
Comments
AMS-LaTeX, 11 pages, 2 figures