Rational homotopy of spaces of maps into spheres and complex projective spaces
نویسندگان
چکیده
منابع مشابه
Rational Homotopy of Spaces of Maps Into Spheres and Complex Projective Spaces
We investigate the rational homotopy classification problem for the components of some function spaces with Sn or cPn as target space.
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15 صفحه اولRational homotopy stability for the spaces of rational maps
Let Holnx0(CP 1,X) be the space of based holomorphic maps of degree n from CP1 into a simply connected algebraic variety X. Under some condition we prove that the map Holnx0(CP 1,X) −→ Hol x0 (CP 1,X) obtained by compositing f ∈ Holnx0(CP 1,X) with g(z) = z, z ∈ CP1 induces rational homotopy equivalence up to some dimension, which tends to infinity as the degree grows.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1985
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1985-0808750-6