Mitsuyoshi Katō

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Mitsuyoshi Katō ( Japanese 加藤 十 吉 , Katō Mitsuyoshi ; born October 10, 1942 in Japan ) is a Japanese mathematician who deals with geometric and algebraic topology.

Kato studied mathematics at Waseda University with a degree in 1964 and received his doctorate there in 1970 under Hiroshi Noguchi (* 1925). From 1968 to 1970 he was at the Institute for Advanced Study .

His introduction of bundle structures on combinatorial manifolds (Prebundel 1967) was a driving force in the development of geometric topology in Japan in the 1970s. One motive was the main conjecture, and in 1968 Kato constructed a counterexample for the relative main conjecture for regular environments.

In 1976 he received the Iyanaga Prize .

Fonts

  • Combinatorial prebundles, I, II, Osaka J. Math., Vol. 4, 1967, pp. 289-303, 305-311
  • Regular neighborhoods are not topologically invariant, Bull. AMS, Volume 74, 1968, pp. 988-991
  • Geometric operations on Whitehead groups, J. Math. Soc. Japan, Vol. 21, 1969, pp. 523-542
  • with Yukio Matsumoto : Simply connected surgery of submanifolds in codimension two. I, J. Math. Soc. Japan, Vol. 24, 1972, pp. 586-608

literature

  • M. Mimura, The Japanese school of topology, in IJ James, History of Topology, North Holland 1999, pp. 863-882

Individual evidence

  1. Jozef H. Przytycki: Notes to the early history of the Knot Theory in Japan, 2001, Arxiv