Homology of group systems with applications to low-dimensional topology

Author:
S. J. Lomonaco Jr.

Journal:
Bull. Amer. Math. Soc. **3** (1980), 1049-1052

MSC (1980):
Primary 55N25, 55N35, 55Q52, 57Q45; Secondary 55S45, 57M05, 57M10

DOI:
https://doi.org/10.1090/S0273-0979-1980-14851-X

MathSciNet review:
585188

Full-text PDF

References | Similar Articles | Additional Information

**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.**Richard H. Crowell,*On the Van Kampen Theorem*, Pacific J. Math. 9 (1959), 43-50. MR**105104****4.**Ralph H. Fox,*Free differential calculus*. I, Ann. of Math. (2) 57 (1953), 547-560;*Free differential calculus*. II, Ann. of Math. (2) 59 (1954), 196-210.**5.**S. J. Lomonaco Jr.,*The homotopy groups of knots. I. How to compute the algebraic 2-type*, Pacific J. Math.**95**(1981), no. 2, 349–390. 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.

Retrieve articles in *Bulletin of the American Mathematical Society*
with MSC (1980):
55N25,
55N35,
55Q52,
57Q45,
55S45,
57M05,
57M10

Retrieve articles in all journals with MSC (1980): 55N25, 55N35, 55Q52, 57Q45, 55S45, 57M05, 57M10

Additional Information

DOI:
https://doi.org/10.1090/S0273-0979-1980-14851-X