nLab Shôrô Araki

(beware that there is also Huzihiro Araki)

• IAS Past Members page

Selected writings

Introducing what came to be known as the Dyer-Lashof operations:

• Tatsuji Kudo, Shôrô Araki: Topology of $H_n$-Spaces and $H$-Squaring Operations, Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics 10 2 (1956) 85–120 [doi:10.2206/kyushumfs.10.85]

Discussion of $\mathbb{Z}_2$-equivariant stable homotopy groups/equivariant stable cohomotopy of spheres:

• Shôrô Araki, Kouyemon Iriye, Equivariant stable homotopy groups of spheres with involutions. I, Osaka J. Math. Volume 19, Number 1 (1982), 1-55. (Euclid:1200774828)

On real oriented cohomology theory in general and in particular on Real cobordism cohomology and Real K-theory:

• Shôrô Araki, $\tau$-Cohomology Theories, Japanese Journal of Mathematics 4 2 (1978) 363-416 [doi:10.4099/math1924.4.363]

• Shôrô Araki, Forgetful spectral sequences, Osaka Journal of Mathematics 16 1 (1979) 173-199 [Euclid]

  (the relevant spectral sequences)

• Shôrô Araki, Orientations in $\tau$-cohomology theories, Japan Journal of Mathematics (N.S.) 5 2 (1979) 403-430 [doi:10.4099/math1924.5.403]

On generalization of the h-cobordism theorem to equivariant cobordism:

• Shôrô Araki, Katsuo Kawakubo, Equivariant $s$-cobordism theorems, J. Math. Soc. Japan 40 2 (1988) [pdf]

category: people