Abstract homotopy neighborhoods and Hauptvermutung

Shigeo ICHIRAKU

doi:10.2969/jmsj/02230325

Shigeo ICHIRAKU

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JOURNAL FREE ACCESS

1970 Volume 22 Issue 3 Pages 325-329

DOI https://doi.org/10.2969/jmsj/02230325

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Published: 1970 Received: June 06, 1969 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Kato, Geometrical operations of Whitehead groups, J. Math. Soc. Japan, 21 (1969), 523-542.
2) D. Sullivan, Triangulating and smoothing homotopy equivalences and homeomorphisms, Geometric Topology Seminar Notes, Princeton, 1967, (mimeographed).
3) B. Mazur, The method of infinite repetition in pure topology: II Stable applications, Ann. of Math., 83 (1966), 387-401.
4) T. Homma, On the imbeddings of polyhedra into manifolds, Yokohama Math. J., 10 (1962), 5-10.
5) V. K. A. M. Gugenheim, Piecewise linear isotopy and embedding of elements and spheres (I), Proc. London Math. Soc., (3) 3 (1953), 29-53.
6) L. C. Siebenmann, On the homotopy type of compact topological manifolds, Bull. Amer. Math. Soc., 74 (1968), 738-742.
7) A. Haefliger and C. T. C. Wall, Piecewise linear bundles in the stable range, Topology, 4 (1965), 209-214.
8) W. Browder and M. W. Hirsch, Surgery on piecewise linear manifolds and applications, Bull. Amer. Math. Soc., 72 (1966), 959-964.
9) J. Stallings, The topology of high-dimensional piecewise linear manifolds, (mimeographed), Princeton.
10) R. C. Kirby and L. C. Siebenmann, On the triangulation of manifolds and Hauptvermutung, Bull. Amer. Math. Soc., 75 (1969), 742-749.

Right : [1] M. Kato, Geometrical operations of Whitehead groups, J. Math. Soc. Japan, 21 (1969), 523-542.
[2] D. Sullivan, Triangulating and smoothing homotopy equivalences and homeomorphisms, Geometric Topology Seminar Notes, Princeton, 1967, (mimeographed).
[3] B. Mazur, The method of infinite repetition in pure topology: II Stable applications, Ann. of Math., 83 (1966), 387-401.
[4] T. Homma, On the imbeddings of polyhedra into manifolds, Yokohama Math. J., 10 (1962), 5-10.
[5] V. K. A. M. Gugenheim, Piecewise linear isotopy and embedding of elements and spheres (I), Proc. London Math. Soc., (3) 3 (1953), 29-53.
[6] L. C. Siebenmann, On the homotopy type of compact topological manifolds, Bull. Amer. Math. Soc., 74 (1968), 738-742.
[7] A. Haefliger and C. T. C. Wall, Piecewise linear bundles in the stable range, Topology, 4 (1965), 209-214.
[8] W. Browder and M. W. Hirsch, Surgery on piecewise linear manifolds and applications, Bull. Amer. Math. Soc., 72 (1966), 959-964.
[9] J. Stallings, The topology of high-dimensional piecewise linear manifolds, (mimeographed), Princeton.
[10] R. C. Kirby and L. C. Siebenmann, On the triangulation of manifolds and Hauptvermutung, Bull. Amer. Math. Soc., 75 (1969), 742-749.

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