Current Affiliation Organization 【 display / non-display 】

Current Affiliation Organization 【 display / non-display 】

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External Career 【 display / non-display 】

Research Areas 【 display / non-display 】

Research Areas 【 display / non-display 】

Published Papers 【 display / non-display 】

Published Papers 【 display / non-display 】

• An Elementary Proof That the Third Finite Subset Space of the Circle is the 3-Sphere

  Yuki Nakandakari, Shuichi Tsukuda

  The American Mathematical Monthly ( Informa UK Limited )  127 ( 9 ) 789 - 805   2020.10 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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    DOI

• Independence complexes and incidence graphs

  Shuichi Tsukuda

  Contributions to Discrete Mathematics   12 ( 1 ) 28 - 46   2017 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

• The Euler characteristic of the configuration space of planar spidery linkages

  Kamiyama Y, S.Tsukuda

  Algebraic and Geometric Topology ( Algebraic and Geometric Topology )  14 ( 6 ) 3659 - 3688   2014 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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• Notes on the triviality of adjoint bundles

  A.Kono, S.Tsukuda

  Homotopy theory of function spaces and related topics, Contemp. Math. ( Amer. Math. Soc. )  519   133 - 144   2010 [ Peer Review Accepted ]

  Type of publication: Research paper (other science council materials etc.)

• On the homology of configuration spaces of arachnoid mechanisms

  Y.Kamiyama, S.Tsukuda

  Houston J. Math. ( その他の出版社 )  34 ( 2 ) 483 - 499   2008 [ Peer Review Accepted ]

  Type of publication: Research paper (scientific journal)

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Grant-in-Aid for Scientific Research 【 display / non-display 】

Grant-in-Aid for Scientific Research 【 display / non-display 】

• Homotopy noncommutativity of loop spaces

  Grant-in-Aid for Scientific Research(C)

  Project Year: 2013.04  -  2016.03 

  Investigator(s): Kishimoto Daisuke, KONO Akira, IRIYE Kouyemon, IWASE Norio, KURIBAYASHI Katsuhiko, TAMAKI Dai, TSUKUDA Shuichi 

  Direct: 2,600,000 (YEN)  Overheads: 3,380,000 (YEN)  Total: 780,000 (YEN)

  　View Summary

  Homotopy noncommutativity of the loop product of loop spaces was studied through gauge groups and polyhedral products. As for gauge groups, the mod p decomposition, the classification of homotopy types of gauge groups corresponding to principal bundles with non-simply connected structure groups, and the classification of A_\infty types were achieved. Particularly, in the classification of A_\infty types, a new method to detect higher order Whitehead products by using Lanne T-functor was developed. As for polyhedral products, the fat wedge filtration was introduced, and through analyzing its structure, the homotopy types of polyhedral products were described. As is application. a topological proof of Golodness of certain simplicial complexes, which has been studied in combinatorial commutative algebra, was given.

• Grant-in-Aid for Scientific Research(C)

  Project Year: 2007  -  2009 

  Total: 1,690,000 (YEN)

• Grant-in-Aid for Young Scientists(B)

  Project Year: 2002.04  -  2004.03 

  Direct: 2,100,000 (YEN)  Overheads: 630,000 (YEN)  Total: 2,730,000 (YEN)