研究課題名 ガルビン予想の解決にむけての研究 研究種目名 挑戦的萌芽研究 ( Grant-in-Aid for Challenging Exploratory Research No. 26610040 of the Ministry of Education, Culture, Sports, Science and Technology Japan.)
● Sakaé Fuchino: A set theoretic reflection principle as a reverse mathematical fixed point, in preparation.
● Sakaé Fuchino: Pre-Hilbert spaces without orthonormal bases , in preparation.
● Sakaé Fuchino: On reflection numbers under large continuum, RIMS Kôkyûroku, No.1988, 2016, pp.1−16.
● Sakaé Fuchino and Toshimichi Usuba: A reflection principle formulated in terms of games, No.1895, 2014, pp.37−47.
研究課題名 定常性に関する反映原理と集合論公理系の拡張 研究種目名 基盤研究（Ｃ） ( Grant-in-Aid for Scientific Research (C) No. 21540150 of the Ministry of Education, Culture, Sports, Science and Technology Japan.)
● Sakaé Fuchino, Lajos Soukup, Hiroshi Sakai and Toshimichi Usuba: More about Fodor-type Reflection Principle , submitted.
● Sy-David Friedman, Sakaé Fuchino and Hiroshi Sakai: On set-generic multiverse, submitted.
● Sakaé Fuchino and Hiroshi Sakai, On reflection and non-reflection of countable list-chromatic number of graphs, to appear in RIMS Kôkyûroku.
● Sakaé Fuchino, The Set-theoretic multiverse as a mathematical plenitudinous Platonism viewpoint, Annals of the Japan Association for the Philosophy of Science Vol.20 (2012), 49--54.
● Sakaé Fuchino, Stefan Geschke and Lajos Soukup: How to drive our families mad, to appear in Archive for Mathematical Logic.
● Sakaé Fuchino and Assaf Rinot: Openly generated Boolean algebras and the Fodor-type Reflection Principle, Fundamenta Mathematicae, 212 (2011), 261-283.
● Sakaé Fuchino: Fodor-type Reflection Principle and Balogh's reflection theorems, RIMS Kokyuroku, No.1686, (April, 2010), 41--58.
● Sakaé Fuchino: Left-separated topological spaces under Fodor-type Reflection Principle, Combinatorial and Descriptive Set Theory, Jörg Brendle (ed.), 京都大学数理解析研究所講究録 (RIMS Kôkyûroku) No.1619, (2008), 32--42.
● Sakaé Fuchino, István Juhász, Lajos Soukup, Zoltán Szentmiklóssy and Toshimichi Usuba: Fodor-type Reflection Principle and reflection of metrizability and meta-Lindelöfness, Topology and its Applications Vol.157, 8 (June 2010), Special Issue dedicated to the Proceedings of the Conference ``Advances in Set-Theoretic Topology'' (in Honour of Tsugunori Nogura on his 60th Birthday), 1415-1429.
● Sakaé Fuchino, Remarks on the coloring number of graphs, 京都大学数理解析研究所講究録 (RIMS Kôkyûroku), No.1754, (August 2011), 6--16.