## Journal of the Mathematical Society of Japan

### The homotopy of spaces of maps between real projective spaces

Kohhei YAMAGUCHI

#### 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.

#### Article information

Source
J. Math. Soc. Japan, Volume 58, Number 4 (2006), 1163-1184.

Dates
First available in Project Euclid: 21 May 2007

https://projecteuclid.org/euclid.jmsj/1179759542

Digital Object Identifier
doi:10.2969/jmsj/1179759542

Mathematical Reviews number (MathSciNet)
MR2276186

Zentralblatt MATH identifier
1112.55008

Subjects
Primary: 55P15: Classification of homotopy type 55P62: Rational homotopy theory
Secondary: 55P10: Homotopy equivalences

#### Citation

YAMAGUCHI, Kohhei. The homotopy of spaces of maps between real projective spaces. J. Math. Soc. Japan 58 (2006), no. 4, 1163--1184. doi:10.2969/jmsj/1179759542. https://projecteuclid.org/euclid.jmsj/1179759542

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