Spaces of Rational Loops on a Real Projective Space
نویسنده
چکیده
We show that the loop spaces on real projective spaces are topologically approximated by the spaces of rational maps RP → RP. As a byproduct of our constructions we obtain an interpretation of the Kronecker characteristic (degree) of an ornament via particle spaces.
منابع مشابه
ar X iv : m at h / 98 10 01 2 v 1 [ m at h . A T ] 2 O ct 1 99 8 . SPACES OF RATIONAL LOOPS ON A REAL PROJECTIVE SPACE
We show that the loop spaces on real projective spaces are topologically approximated by the spaces of rational maps RP → RPn. 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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