[PDF] Spaces of equivariant algebraic maps from real projective spaces into complex projective spaces (Geometry of Transformation Groups and Combinatorics) | Semantic Scholar

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Corpus ID: 117015988

Spaces of equivariant algebraic maps from real projective spaces into complex projective spaces (Geometry of Transformation Groups and Combinatorics)

@inproceedings{Kozowski2011SpacesOE,
title={Spaces of equivariant algebraic maps from real projective spaces into complex projective spaces (Geometry of Transformation Groups and Combinatorics)},
author={A. Kozłowski and K. Yamaguchi},
year={2011}
}

We study the homotopy types of certain spaces closely related to the spaces of algebraic (rational) maps from the $m$ dimensional real projective space into the $n$ dimensional complex projective space for $2\leq m\leq 2n$ (we conjecture this relation to be a homotopy equivalence). In an earlier article we proved that the homotopy types of the terms of the natural degree filtration approximate closer and closer the homotopy type of the space of continuous maps and obtained bounds that describe… Expand