On mapping cones of suspension elements of finite order in the homotopy groups of a wedge of spheres
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- by Imre Bokor PDF
- Proc. Amer. Math. Soc. 119 (1993), 955-961 Request permission
Abstract:
The genus of the mapping cone ${C_f}$ of a map $f:{S^{m - 1}} \to \bigvee {S^n}(m > n > 1)$ representing a suspension element of finite order in ${\pi _{m - 1}}(\bigvee {S^n})$ is classified by a subgroup ${G_f}$ of ${\pi _{m - 1}}({S^n})$ depending only on the homotopy type of ${C_f}$. The group ${G_f}$ finds application in proving that the genus of ${C_f}$ is trivial whenever ${C_f}$ has sufficiently many $n$-cells, the number being limited by the torsion subgroup of ${\pi _{m - 1}}({S^n})$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 955-961
- MSC: Primary 55P15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1152974-8
- MathSciNet review: 1152974