Open three-dimensional manifolds with finitely generated fundamental groups

Author:
Robert Messer

Journal:
Bull. Amer. Math. Soc. **82** (1976), 89-91

MSC (1970):
Primary 55A05, 57A10, 57A65; Secondary 57A15, 57C99

DOI:
https://doi.org/10.1090/S0002-9904-1976-13971-7

MathSciNet review:
0394628

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References | Similar Articles | Additional Information

**1.**D. E. Galewski, J. G. Hollingsworth and D. R. McMillan, Jr.,*On the fundamental group and homotopy type of open 3-manifolds*, General Topology and Appl. 2 (1972), 299-313. MR 47 #5880. MR**317333****2.**D. R. McMillan, Jr.,*Cartesian products of contractible open manifolds*, Bull. Amer. Math. Soc. 67 (1961), 510-514. MR 24 #A1132. MR**131280****3.**D. R. McMillan, Jr.,*A finiteness theorem for open three-manifolds*, Proc. Univ. of Oklahoma Topology Conf., Department of Mathematics, University of Oklahoma, Norman; edited by Kay, Green, Rubin, Su, 1972, pp. 147-167. MR**482767****4.**Robert Messer,*Three-dimensional manifolds and compactness*, University of Wisconsin Ph. D. Thesis, 1975.**5.**G. P. Scott,*Compact submanifolds of 3-manifolds*, J. London Math. Soc. (2) 7 (1973), 246-250. MR 48 #5080. MR**326737****6.**T. W. Tucker,*Non-compact 3-manifolds and the missing boundary problem*, Topology 13 (1974), 267-273. MR**353317****7.**J. H. C. Whitehead,*A certain open manifold whose group is unity*, Quart. J. Math. Oxford 6 (1935), 268-279.

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DOI:
https://doi.org/10.1090/S0002-9904-1976-13971-7