Geodesic
Linearization of a Contractive Homeomorphism
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1387-1390

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a topological space and φ: X ⟶ X a continuous self-mapping of X. We say that φ is linearized in L by Φ if there exists a topological embedding μ: X ⟶ L of the space X into the linear topological vector space L such that for all x ε X, μ (φ (x)) = Φ (μ (x)), where φ is a continuous linear operator on L. 
Janos, Ludvik. Linearization of a Contractive Homeomorphism. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1387-1390. doi: 10.4153/CJM-1968-139-0
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[1] 1. Janos, Ludvik, One-to-one contractive mappings on compact spaces, Notices Amer. Math. Soc. 14 (1967), 133. Google Scholar

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