Linked pairs of contractible polyhedra in $S^ n$
HTML articles powered by AMS MathViewer
- by Craig R. Guilbault
- Proc. Amer. Math. Soc. 121 (1994), 1271-1274
- DOI: https://doi.org/10.1090/S0002-9939-1994-1205493-5
- PDF | Request permission
Abstract:
B. Mazur has described a geometrically linked pair of compact contractible polyhedra in ${S^4}$. In this note we exhibit an even more extreme type of linking between compact contractible polyhedra in ${S^n},n \geq 5$.References
- Michel A. Kervaire, Smooth homology spheres and their fundamental groups, Trans. Amer. Math. Soc. 144 (1969), 67–72. MR 253347, DOI 10.1090/S0002-9947-1969-0253347-3
- Barry Mazur, A note on some contractible $4$-manifolds, Ann. of Math. (2) 73 (1961), 221–228. MR 125574, DOI 10.2307/1970288
- Stephen Smale, Generalized Poincaré’s conjecture in dimensions greater than four, Ann. of Math. (2) 74 (1961), 391–406. MR 137124, DOI 10.2307/1970239 J. R. Stallings, The embedding of homotopy types into manifolds, Mimeographed notes, Princeton Univ., 1965.
- David G. Wright, Contractible open manifolds which are not covering spaces, Topology 31 (1992), no. 2, 281–291. MR 1167170, DOI 10.1016/0040-9383(92)90021-9
Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 1271-1274
- MSC: Primary 57N15; Secondary 57Q45
- DOI: https://doi.org/10.1090/S0002-9939-1994-1205493-5
- MathSciNet review: 1205493