The group of self-homotopy equivalences of a rational space cannot be a free abelian group
Author:
Affiliation:
1. Department of Mathematics, College of Sciences, University of Sharjah
Publisher
Mathematical Society of Japan (Project Euclid)
Subject
General Mathematics
Reference13 articles.
1. [1] D. J. Anick, $R$-local homotopy theory, In: Homotopy Theory and Related Topics, Lecture Notes in Math., 1418, Springer, 1990, 78–85.
2. [2] M. Arkowitz, Problems on self-homotopy equivalences, In: Groups of Homotopy Self-Equivalences and Related Topics (Gargnano, 1999), Contemp. Math., 274, Amer. Math. Soc., Providence, RI, 2001, 309–315.
3. [3] M. Benkhalifa, The effect of cell-attachment on the group of self-equivalences of an elliptic space, Michigan Math. J., Advance Publication, (2021). doi:10.1307/mmj/20195840.
4. [4] M. Benkhalifa, On the group of self-homotopy equivalences of an elliptic space, Proc. Amer. Math. Soc., 148 (2020), 2695–2706.
5. [5] M. Benkhalifa, Postnikov decomposition and the group of self-equivalences of a rationalized space, Homology Homotopy Appl., 19 (2017), 209–224.
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