Mitsuyoshi Katō
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
personal data | |
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SURNAME | Katō, Mitsuyoshi |
ALTERNATIVE NAMES | 加藤 十 吉 (Japanese) |
BRIEF DESCRIPTION | Japanese mathematician |
DATE OF BIRTH | October 10, 1942 |
PLACE OF BIRTH | Japan |