Certain maps preserving self-homotopy equivalences

DOI10.1007/s40062-016-0144-0zbMath1378.55008arXiv1506.09126OpenAlexW2963613051MaRDI QIDQ2410699

Jin-ho Lee, Toshihiro Yamaguchi

Publication date: 18 October 2017

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.09126

zbMATH Keywords

rational homotopySullivan minimal modelself-homotopy equivalence\(\mathcal{E}\)-mapco-\(\mathcal{E}\)-maprational \(\mathcal{E}\)-maprational co-\(\mathcal{E}\)-maprationally \(\mathcal{E}\)-equivalent

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Rational homotopy theory (55P62)

Cites Work

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• Realizability of the group of rational self-homotopy equivalences
• Every finite group is the group of self-homotopy equivalences of an elliptic space
• The effect of cell-attachment on the group of self-equivalences of an \(R\)-localized space
• Rational self-homotopy equivalences and Whitehead exact sequence
• Groups of self-equivalences and related topics. Proceedings of a conference held in Montréal, Canada, August 8--12, 1988
• The homology theory of the closed geodesic problem
• Infinitesimal computations in topology
• Spaces of homotopy self-equivalences. A survey
• The set of cyclic-element preserving maps
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• THE GROUPS OF SELF PAIR HOMOTOPY EQUIVALENCES
• Rational homotopy theory and differential forms
• Rational obstruction theory and rational homotopy sets

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