Bulletin (New Series) of the American Mathematical Society

Controlled topology in geometry

K. Grove, P. Petersen, and J. Y. Wu
Source: Bull. Amer. Math. Soc. (N.S.) Volume 20, Number 2 (1989), 181-183.
First Page: Show Hide
Primary Subjects: 53C20, 57N99
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.bams/1183555017
Mathematical Reviews number (MathSciNet): MR974425
Zentralblatt MATH identifier: 0666.53027

References

[B] E. G. Begle, Regular convergence, Duke Math. J. 11 (1944), 441-450.
Zentralblatt MATH: 0061.39903
Mathematical Reviews (MathSciNet): MR10964
Digital Object Identifier: doi:10.1215/S0012-7094-44-01139-7
Project Euclid: euclid.dmj/1077472654
[CF] T. A. Chapman and S. Ferry, Approximating homotopy equivalences by homeomorphisms, Amer. J. Math. 101 (1979), 583-607.
Zentralblatt MATH: 0426.57004
Mathematical Reviews (MathSciNet): MR533192
Digital Object Identifier: doi:10.2307/2373799
[C] J. Cheeger, Finiteness theorems for Riemannian manifolds, Amer. J. Math. 92 (1970), 61-74.
Zentralblatt MATH: 0194.52902
Mathematical Reviews (MathSciNet): MR263092
Digital Object Identifier: doi:10.2307/2373498
[D] R. J. Daverman, Decompositions of manifolds, Academic Press, New York, 1986.
Zentralblatt MATH: 0608.57002
Mathematical Reviews (MathSciNet): MR872468
[E] R. D. Edwards, The topology of manifolds and cell-like maps, Proc. Internat. Congr. Math. Helsinki 1978 (O. Lehto, ed.), Acad. Sci. Fenn., Helsinki, 1980, pp. 111-127.
Zentralblatt MATH: 0428.57004
Mathematical Reviews (MathSciNet): MR562601
[F] S. Ferry, Homotoping є-maps to homeomorphisms, Amer. J. Math. 101 (1979), 567-582.
Zentralblatt MATH: 0426.57005
Mathematical Reviews (MathSciNet): MR533191
Digital Object Identifier: doi:10.2307/2373798
[G] M. Gromov, Groups of polynomial growth and expanding maps, Inst. Hautes Études Sci. Publ. Math. 53 (1981), 183-215.
Zentralblatt MATH: 0474.20018
Mathematical Reviews (MathSciNet): MR623534
Digital Object Identifier: doi:10.1007/BF02698687
[GP] K. Grove and P. Petersen V, Bounding homotopy types by geometry, Ann. of Math. (2) 128 (1988), 195-206.
Zentralblatt MATH: 0655.53032
Mathematical Reviews (MathSciNet): MR951512
Digital Object Identifier: doi:10.2307/1971439
[H] R. S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geom. 17 (1982), 255-306.
Zentralblatt MATH: 0504.53034
Mathematical Reviews (MathSciNet): MR664497
Project Euclid: euclid.jdg/1214436922
[HK] I. Hambleton and M. Kreck, On the classification of topological 4-manifolds with finite fundamental group, Math. Ann. 280 (1988), 85-104.
Zentralblatt MATH: 0616.57009
Mathematical Reviews (MathSciNet): MR928299
Digital Object Identifier: doi:10.1007/BF01474183
[KS] R. Kirby and L. Siebenmann, Foundational essays on topological manifolds, smoothings and triangulations, Ann. of Math. Studies 88, Princeton Univ. Press, Princeton, N. J., 1977.
Zentralblatt MATH: 0361.57004
Mathematical Reviews (MathSciNet): MR645390
[P] S. Peters, Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds, J. Reine Angew. Math. 394 (1984), 77-82.
Zentralblatt MATH: 0524.53025
Mathematical Reviews (MathSciNet): MR743966
[PV] P. Petersen V, A finiteness theorem for metric spaces, J. Differential Geom. (to appear).
Zentralblatt MATH: 0696.55005
Mathematical Reviews (MathSciNet): MR1037407
Project Euclid: euclid.jdg/1214444319
[Q] F. Quinn, An obstruction to the resolution of homology manifolds, Michigan Math. J. 34 (1987), 285-291.
Zentralblatt MATH: 0652.57011
Mathematical Reviews (MathSciNet): MR894878
Digital Object Identifier: doi:10.1307/mmj/1029003559
Project Euclid: euclid.mmj/1029003559
[Y] T. Yamaguchi, Homotopy finiteness theorems for certain precompact families of Riemannian manifolds, Proc. Amer. Math. Soc. 102 (1988), 660-666.
Zentralblatt MATH: 0647.53035
Mathematical Reviews (MathSciNet): MR928999
Digital Object Identifier: doi:10.1090/S0002-9939-1988-0928999-X

2013 © American Mathematical Society

Bulletin (New Series) of the American Mathematical Society

Bulletin (New Series) of the American Mathematical Society

Turn MathJax Off
What is MathJax?