Open Access
October, 2006 The homotopy of spaces of maps between real projective spaces
Kohhei YAMAGUCHI
J. Math. Soc. Japan 58(4): 1163-1184 (October, 2006). DOI: 10.2969/jmsj/1179759542

Abstract

We study the homotopy groups of spaces of continuous maps between real projective spaces and we generalize the results given in [5], [8] and [12]. In particular, we determine the rational homotopy types of these spaces and compute their fundamental groups explicitly.

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Kohhei YAMAGUCHI. "The homotopy of spaces of maps between real projective spaces." J. Math. Soc. Japan 58 (4) 1163 - 1184, October, 2006. https://doi.org/10.2969/jmsj/1179759542

Information

Published: October, 2006
First available in Project Euclid: 21 May 2007

zbMATH: 1112.55008
MathSciNet: MR2276186
Digital Object Identifier: 10.2969/jmsj/1179759542

Subjects:
Primary: 55P15 , 55P62
Secondary: 55P10

Keywords: fundamental group , group action , rational homotopy equivalence

Rights: Copyright © 2006 Mathematical Society of Japan

Vol.58 • No. 4 • October, 2006
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