On the rational homotopy type of function spaces
نویسندگان
چکیده
منابع مشابه
On the Rational Homotopy Type of Function Spaces
The main result of this paper is the construction of a minimal model for the function space F(X,Y ) of continuous functions from a finite type, finite dimensional space X to a finite type, nilpotent space Y in terms of minimal models for X and Y . For the component containing the constant map, π∗(F(X,Y ))⊗Q = π∗(Y ) ⊗ H−∗(X;Q) in positive dimensions. When X is formal, there is a simple formula ...
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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: 1997
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-97-01871-0