Hereditary homotopy equivalences
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- by Allan J. Sieradski PDF
- Proc. Amer. Math. Soc. 87 (1983), 149-153 Request permission
Abstract:
This paper introduces the notion of hereditary homotopy equivalence which provides a homotopy-theoretic reformulation of the existence of a Cohen-Lyndon basis for a group presentation.References
- Ian M. Chiswell, Donald J. Collins, and Johannes Huebschmann, Aspherical group presentations, Math. Z. 178 (1981), no. 1, 1–36. MR 627092, DOI 10.1007/BF01218369
- Peter Hilton, Homotopy theory and duality, Gordon and Breach Science Publishers, New York-London-Paris, 1965. MR 0198466
- Roger C. Lyndon and Paul E. Schupp, Combinatorial group theory, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89, Springer-Verlag, Berlin-New York, 1977. MR 0577064
- Kurt Reidemeister, Über Identitäten von Relationen, Abh. Math. Sem. Univ. Hamburg 16 (1949), no. nos. 3-4, 114–118 (German). MR 32639, DOI 10.1007/BF03343521
- Allan J. Sieradski, Framed links for Peiffer identities, Math. Z. 175 (1980), no. 2, 125–137. MR 597084, DOI 10.1007/BF01674442
Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 149-153
- MSC: Primary 57M20; Secondary 20F05, 55P15, 57M05
- DOI: https://doi.org/10.1090/S0002-9939-1983-0677251-4
- MathSciNet review: 677251