Positively Expansive Maps and Growth of Fundamental Groups

DOI10.2307/2046820zbMath0697.58040OpenAlexW4238285863MaRDI QIDQ3473859

Koichi Hiraide

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046820

zbMATH Keywords

growth of fundamental grouppositively expansive mapexpanding infra-nil-endomorphism

Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) Dynamical systems with hyperbolic behavior (37D99)

Related Items (4)

Positively expansive open maps of Peano spaces ⋮ Proof of the hyperplane zeros conjecture of Lagarias and Wang ⋮ Nonexistence of Positively Expansive Maps on Compact Connected Manifolds with Boundary ⋮ Expansive branched coverings of surfaces

Cites Work

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• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• A note on curvature and fundamental group
• Growth of finitely generated solvable groups and curvature of Riemannian manifolds
• On the triangulation of manifolds and the Hauptvermutung
• Endomorphisms of Compact Differentiable Manifolds
• Analysis on topological manifolds

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