A 4-dimensional 1-LCC Shrinking Theorem

Topology and its Applications

Volumn 110, Issue 1, 2001, Pages 3-20

  Bestvina, M ^a   Daverman, R J ^b   Venema, G A ^c,e   Walsh, J J ^d  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

^c CALVIN COLLEGE   (United States)

^d CLEVELAND STATE UNIVERSITY   (United States)

^e NATIONAL SCIENCE FOUNDATION   (United States)

Author keywords

4 dimensional manifold; Absolute neighborhood retract; Cell like mapping; Codimension 3; Locally simply co connected; Shrinking theorem

Indexed keywords

EID: 15944386392     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(99)00177-7     Document Type: Article

References (10)

1. F.D. Ancel, Resolving wild embeddings of codimension-one manifolds in manifolds of dimensions greater than 3, Topology Appl. 24 (1986) 13-40.
2. J.W. Cannon, Shrinking cell-like decompositions of manifolds. Codimension 3, Ann. of Math. 110 (1979) 83-112.
3. R.J. Daverman, Decompositions of Manifolds, Academic Press, Orlando, FL, 1986.
4. R.D. Edwards, Dimension theory, I, in: L.C. Glaser, T.B. Rushing (Eds.), Geometric Topology, Lecture Notes in Math., Vol. 438, Springer, New York, 1975, pp. 195-211.
5. R.D. Edwards, Approximating certain cell-like maps by homeomorphisms, Unpublished manuscript, 1977.
6. R.D. Edwards, The topology of manifolds and cell-like maps, in: Proc. International Congress Mathematicians, Helsinki, 1978, Acad. Sci. Fenn., Helsinki, 1980, pp. 111-127.
7. R.D. Edwards, Homotopically tame implies geometrically tame, Unpublished notes from talks given in 1982.
8. M.H. Freedman, F. Quinn, Topology of 4-manifolds, Princeton University Press, Princeton, NJ, 1990.
9. F. Quinn, Ends of maps, I, Ann. of Math. 110 (1979) 275-331.
10. F. Quinn, Ends of maps, III: Dimensions 4 and 5, J. Differential Geom. 17 (1982) 503-521.