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The Princeton notes on the Hauptvermutung

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The Hauptvermutung Book

Part of the book series: -Monographs in Mathematics ((KMON,volume 1))

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Abstract

The homotopy Hauptvermutung is the conjecture that a (topological) homeomorphism between two PL (= piecewise linear) manifolds may be continuously deformed to a PL homeomorphism.

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References

  1. A. Casson, Generalisations and applications of block bundles Fellowship dissertation, Trinity College Library, Cambridge (1967). ( Published in this volume).

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  2. R. C. Kirby and L. C. Siebenmann, On the triangulation of manifolds and the Hauptvermutung, Bull. Amer. Math. Soc. 75 (1969), 742–749.

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  3. R. C. Kirby and L. C. Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations Annals of Math. Studies 88, Princeton University Press (1977).

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  4. D. P. Sullivan, On the Hauptvermutung for manifolds, Bull. Amer. Math. Soc. 73 (1967), 598–600.

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  5. D. P. Sullivan, Triangulating and smoothing homotopy equivalences and homeomorphisms. Geometric Topology Seminar Notes, Princeton (1967). (Published in this volume).

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© 1996 Springer Science+Business Media Dordrecht

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Armstrong, M.A., Rourke, C.P., Cooke, G.E. (1996). The Princeton notes on the Hauptvermutung. In: Ranicki, A.A. (eds) The Hauptvermutung Book. K-Monographs in Mathematics, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3343-4_4

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  • DOI: https://doi.org/10.1007/978-94-017-3343-4_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4735-9

  • Online ISBN: 978-94-017-3343-4

  • eBook Packages: Springer Book Archive

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