Research theme for competitive and other funds (15):
2010 - 2014 Computability, corse topology and the dimensions of metric spaces
2010 - 2012 Study on boundaries of Coxeter groups anddynamical structure on the chain recurrent set
2007 - 2009 Research of dimension theory and dynamical systems on boundaries of Coxeter groups
2007 - 2009 On the structure of computability on metric spaces, dimension and the complexities of descriptive set theory
2005 - 2007 Geometric structures and submanifolds
2004 - 2006 Construction of exotic homology manifolds and generalization of Quinn index
2004 - 2006 Research of a boundary of a Coxeter system and dimension theory
2004 - 2005 Dimension, metrics and computability in metric spaces
2003 - 2004 Submanifolds of symmetric spaces
2002 - 2003 Research on cohomological dimension of topological spaces and one of Coxeter groups
2001 - 2002 次元論とコクセター群に関する幾何学的群論の研究
1999 - 2000 コクセター群及び双曲群に関する幾何学的群論と次元論の研究
1997 - 1998 ヘガード分解と基本群の3組
1996 - 1996 等式空間における変分問題
1992 - 1992 位相積空間の幾何学的及び解析学的考察
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Papers (21):
Katsuya Yokoi. Lusternik-Schnirelmann category based on the discrete Conley index theory. Glasgow Mathematical Journal. 2019. 61. 03. 693-704
Katsuya Yokoi. On strong chain recurrence for maps. Annales Polonici Mathematici. 2015. 114. 2. 165-177
Katsuya Yokoi. Recurrence properties of a class of nonautonomous discrete systems. Bulletin of the Belgian Mathematical Society - Simon Stevin. 2013. 20. 4
Katsuya Yokoi. The size of the chain recurrent set for generic maps on an n-dimensional locally (n-1)-connected compact space. Colloquium Mathematicum. 2010. 119. 2. 229-236
Katsuya Yokoi. The chain recurrent set for maps of compacta. Annales Polonici Mathematici. 2007. 92. 2. 123-131