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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Some problems on 3-dimensional manifolds

Author(s): C. D. Papakyriakopoulos
Journal: Bull. Amer. Math. Soc. 64 (1958), 317-335.
MathSciNet review: 0102814
Retrieve article in: PDF

References | Additional information

References:

1.
R. H. Bing, Locally tame sets are tame, Ann. of Math. vol. 59 (1954) pp. 145-158. MR 61377
2.
R. H. Bing, An alternative proof that 3-manifolds can be triangulated, Ann. of Math. (to appear). MR 100841
3.
E. J. Brody, On the Fox invariant, Dissertation, 1954, Princeton University.
4.
M. Dehn, Über die Topologie des dreidimensionalen Raumes, Math. Ann. vol. 69 (1910) pp. 137-168. MR 1511580
5.
S. Eilenberg, Sur les courbes sans noeuds, Fund. Math. vol. 28 (1936) pp. 233-242.
6.
R. H. Fox, Recent development of knot theory at Princeton, Proceedings of the International Congress of Mathematicians 1950, vol. II, pp. 453-457. MR 48023
7.
G. Higman, A theorem on linkages, Quart. J. Math. Oxford Ser. vol. 19 (1948) pp. 117-122. MR 25154
8.
I. Johansson, Über singuläre Elementarflächen und das Dehnsche Lemma, Math. Ann. vol. 110 (1935) pp. 312-320. MR 1512940
9.
I. Johansson, Über singuläre Elementarflächen und das Dehnsche Lemma II, Math. Ann. vol. 115 (1938) pp. 658-669. MR 1513210
10.
B. v. Kerékjártó, Vorlesungen über Topologie, Berlin, Springer, 1923.
11.
H. Kneser, Geschlossene Flächen in dreidimensionalen Mannigfaltigkeiten, Jber. Deutsch. Math. Verein. vol. 38 (1929) pp. 248-260.
12.
J. W. Milnor, A unique decomposition theorem for 3-manifolds (in preparation).
13.
E. E. Moise, Affine structures in 3-manifolds V, Ann. of Math. vol. 56 (1952) pp. 96-114. MR 48805
14.
E. E. Moise, Affine structures in 3-manifolds VIII, Ann. of Math. vol. 59 (1954) pp. 159-170. MR 61822
15.
M. H. A. Newman and J. H. C. Whitehead, On the group of a certain linkage, Quart. J. Math. Oxford Ser. vol. 8 (1937) pp. 14-21.
16.
C. D. Papakyriakopoulos, On solid tori, Proc. London Math. Soc. (3) vol. 7 (1957) pp. 281-299. MR 87944
17.
C. D. Papakyriakopoulos, On Dehn's lemma and the asphericity of knots, Proc. Nat. Acad. Sci. U.S.A. vol. 43 (1957) pp. 169-172. MR 82671
18.
C. D. Papakyriakopoulos, On Dehn's lemma and the asphericity of knots, Ann. of Math. vol. 66 (1957) pp. 1-26. MR 90053
19.
C. D. Papakyriakopoulos, On the ends of the fundamental groups of 3-manifolds with boundary, Comment. Math. Helv. vol. 32 (1957) pp. 85-92. MR 92970
20.
K. Reidemeister, Homotopieringe und Linsenräume, Abh. Math. Sem. Hansischen Univ. vol. 11 (1935) pp. 102-109.
21.
D. E. Sanderson, Istopic deformations in 3-manifolds, Thesis, 1953, University of Wisconsin.
22.
H. Seifert and W, Threlfall, Lehrbuch der Topologie, Leipzig, Teubner, 1934.
23.
J. Singer, Three-dimensional manifolds and their Heegaard diagrams, Trans. Amer. Math. Soc. vol. 35 (1933) pp. 88-111. MR 1501673
24.
E. Specker, Die erste Cohomologiegruppe von Überlagerungen und Homotopie-eigenschaften dreidimensionaler Mannigfaltigkeiten, Comment. Math. Helv. vol. 23 (1949) pp. 303-332. MR 33520
25.
J. H. C. Whitehead, A certain region in euclidean 3-space, Proc. Nat. Acad. Sci. U.S.A. vol. 21 (1935) pp. 364-366.
26.
J. H. C. Whitehead, A certain open manifold whose group is unity, Quart. J. Math. Oxford Ser. vol. 6 (1935) pp. 268-279.
27.
J. H. C. Whitehead, On doubled knots, J. London Math. Soc. vol. 12 (1937) pp. 63-71.
28.
J. H. C. Whitehead, On the asphericity of regions in a 3-sphere, Fund. Math. vol. 32 (1939) pp. 149-166.
29.
J. H. C. Whitehead, 2-spheres in 3-manifolds, Bull. Amer. Math. Soc. vol. 64 (1958) pp. 161-166. MR 103473
30.
J. H. C. Whitehead and Arnold S. Shapiro, A proof and extension of Dehn's lemma, Bull. Amer. Math. Soc. vol. 64 (1958) pp. 174-178. MR 103474


Additional Information:

DOI: 10.1090/S0002-9904-1958-10222-0
PII: S 0002-9904(1958)10222-0




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