Spaces of Rational Loops on a Real Projective Space
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🧮 math.AT
math.GT
keywords
spacesprojectiverationalrealapproximatedbyproductcharacteristicconstructions
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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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