Geometric finiteness theorems via controlled topology

Inventiones Mathematicae

Volumn 99, Issue 1, 1990, Pages 205-213

  Grove, Karsten ^a   Petersen, Peter ^b   Wu, Jyh Yang ^c  

^a UNIVERSITY OF MARYLAND   (United States)

^b PRINCETON UNIVERSITY   (United States)

^c UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000976022     PISSN: 00209910     EISSN: 14321297     Source Type: Journal    
DOI: 10.1007/BF01234417     Document Type: Article

References (29)

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4. Finiteness theorems for Riemannian manifolds
5. Some isoperimetric inequalities and eigenvalue estimates
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7. On the diffeomorphism types of certain algebraic surfaces, I
8. Homotoping ε-maps to homeomorphisms
9. The homeomorphism group of a compact Hilbert cube manifold is an ANR
10. Groups of polynomial growth and expanding maps
11. Curvature, diameter and Betti numbers
12. Bounding homotopy types by geometry
13. Controlled topology in geometry
14. A generalized sphere theorem
15. Three-manifolds with positive Ricci curvature
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17. Resolutions of Homolgy Manifolds, and the Topological Characterization of Manifolds
18. An obstruction to the resolution of homology manifolds
19. End of maps, I
20. Ends of maps, III: Dimensions 4 and 5
21. On the homotopy type of positively pinched manifolds
22. Homotopy type finiteness theorems for certain precompact families of Riemannian manifolds