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Homology of group systems with applications to low-dimensional topology
Author(s):
S. J.
Lomonaco Jr.
Journal:
Bull. Amer. Math. Soc.
3
(1980),
1049-1052.
MSC (1980):
Primary 55N25, 55N35, 55Q52, 57Q45;
Secondary 55S45, 57M05, 57M10
MathSciNet review:
585188
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Additional information
References:
- 1.
- William Bechmann, Personal communication.
- 2.
- R. Brown and P. J. Higgins, On the connection between the second relative homotopy groups of some related spaces, Proc. London Math. Soc. 36 (1978), 193-212. MR 478150
- 3.
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- 4.
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- 5.
- S. J. Lomonaco, Jr., The homotopy groups of knots. I. How to compute the algebraic 2-type, Pacific J. Math. (to appear). MR 632192
- 6.
- Roger C. Lyndon, Cohomology theory of groups with a single defining relation, Ann. of Math. (2) 52 (1950), 650-665. MR 47046
- 7.
- Saunders Mac Lane and J. H. C. Whitehead, On the 3-type of a complex, Proc. Nat. Acad. Sci. 36 (1950), 41-48. MR 33519
- 8.
- John Milnor, Construction of universal bundles. II, Ann. of Math. (2) 63 (1956), 430-436. MR 77932
- 9.
- C. D. Papakyriakopoulos, On Dehn's lemma and the asphericity of knots, Ann. of Math. (2) 66 (1957), 1-26. MR 90053
- 10.
- Richard G. Swan, Groups of cohomological dimension one, J. Algebra 12 (1969), 585-601. MR 240177
- 11.
- H. F. Trotter, Homology of group systems with applications to knot theory, Ann. of Math. (2) 76 (1962), 464-498. MR 143201
- 12.
- J. H. C. Whitehead, On the asphericity of regions in a 3-sphere, Fund. Math. 32 (1939), 149-166.
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55N25, 55N35, 55Q52, 57Q45, 55S45, 57M05, 57M10
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(1980):
55N25, 55N35, 55Q52, 57Q45, 55S45, 57M05, 57M10
Additional Information:
DOI:
10.1090/S0273-0979-1980-14851-X
PII:
S 0273-0979(1980)14851-X
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