논문KCI 등재
Some cohomotopy groups of suspended quaternionic projective planes
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초록
In this paper we present the computation of two kinds of cohomotopy groups $[\Sigma^{n+4} \A P^2,S^n]$ and $[\Sigma^{n+5} \A P^2,S^n]$ for a non-negative integer $n$, where $\Sigma^{k} \A P^2$ is the $k$-fold suspension of quaternionic projective plane $\A P^2$.
Abstract
In this paper we present the computation of two kinds of cohomotopy groups $[\Sigma^{n+4} \A P^2,S^n]$ and $[\Sigma^{n+5} \A P^2,S^n]$ for a non-negative integer $n$, where $\Sigma^{k} \A P^2$ is the $k$-fold suspension of quaternionic projective plane $\A P^2$.
참고문헌 (8)
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- S. Kikkawa, "Cohomotopy sets of projective planes", J. Fac. Sci. Shinshu Univ, 33(1), pp.1~7 (1998)
- K. Oguchi, "Generators of 2-primary components of homotopy groups of spheres, unitary groups and symplectic groups", J. Fac. Sci. Univ. Tokyo Sect. I, 11, pp.65~111 (1964)
- H. Oshima, "Cohomotopy of Lie groups", Osaka J. Math, 28(2), pp.213~221 (1991)
- R. Rubinsztein, "Some remarks on the cohomotopy of RP∞, Quart", J. Math. Oxford Ser. (2), 30(117), pp.119~128 (1979)
- Y. Sumita, , Master, pp.1998
- H. Toda, "Composition methods in homotopy groups of spheres", Annals of Mathematics Studies, (49) (1962), Princeton University Press
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