Homeomorphisms of

Author:
Terry Lawson

Journal:
Proc. Amer. Math. Soc. **56** (1976), 349-350

MSC:
Primary 57D60; Secondary 57D80

MathSciNet review:
0402778

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Abstract: An elementary proof is given that a homeomorphism of that is homotopic to the identity is pseudoisotopic to the identity . The key step is to show that each homeomorphism is pseudoisotopic to any standard finite cover.

**[1]**Robert D. Edwards and Robion C. Kirby,*Deformations of spaces of imbeddings*, Ann. Math. (2)**93**(1971), 63–88. MR**0283802****[2]**Wu-chung Hsiang and Julius L. Shaneson,*Fake tori*, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969), Markham, Chicago, Ill., 1970, pp. 18–51. MR**0281211****[3]**Terry C. Lawson,*Splitting isomorphisms of mapping tori*, Trans. Amer. Math. Soc.**205**(1975), 285–294. MR**0358821**, 10.1090/S0002-9947-1975-0358821-X**[4]**Terry C. Lawson,*Remarks on the four and five dimensional 𝑠-cobordism conjectures*, Duke Math. J.**41**(1974), 639–644. MR**0362361****[5]**-,*Automorphisms of -an elementary approach with applications*, Proc 1974 USL Math. Conf., University of Southwestern Louisiana, 1975, pp. 1-7.**[6]**L. C. Siebenmann,*Disruption of low-dimensional handlebody theory by Rohlin’s theorem.*, Topology of Manifolds (Proc. Inst., Univ. of Georgia, Athens, Ga., 1969), Markham, Chicago, Ill., 1970, pp. 57–76. MR**0271955**

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DOI:
https://doi.org/10.1090/S0002-9939-1976-0402778-6

Keywords:
Pseudoisotopy,
homeomorphism,
PL homeomorphism,
Hauptvermutung,
invertible cobordism,
isotopy

Article copyright:
© Copyright 1976
American Mathematical Society