- 2019 - 2024 単調作用素の構造の解明と選好理論への応用
- 2011 - 2017 Construction of extender for continuous maps
- 2010 - 2014 Set-thoretic approach to the extension problem of continuous functions in topology
- 2007 - 2010 A study of extension problems of partitions of unity on topological spaces
- 2007 - 2009 Set-theoretic approach to the extension problem of continuous functions on topological spaces
- 2007 - 2009 Study of dynamical and geometrical properties of maps on separable metric spaces
- 2006 - 2007 Study on Banach algebras from general and geometric topology view point
- 2005 - 2007 Topology of hyperspaces, mapping spaces and universal spaces
- 2004 - 2006 集合的手法による1の分割の拡張問題の研究
- 2002 - 2004 Study of chaotic maps and complicated invariant sets in topological dynamics by using continuum theory
- 2002 - 2004 Topology of Infinite-Dimensional Manifolds and Universal Spaces
- 2001 - 2002 1の分割の拡張問題への集合的アプローチ
- 2000 - 2001 Research of applications of set theory to the,extension problem of continuous functions
- 1999 - 2001 Research of invariant sets of topological dynamics in continuum theory
- 1998 - 2000 Studies on Infinite-Dimensional Manifolds and Menger Manifolds, and their Applications
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