Research field (2):
Geometry
, Educational technology
Research keywords (9):
cardinal invariant
, forcing
, dimension theory
, continuum
, compactification
, dynamical sysytems
, set theory
, general topology
, Geometric Topology
Research theme for competitive and other funds (8):
2022 - 2027 Development of the deep active learning type class design by the data drive type education of the engineering system mathematics
2017 - 2023 Development of next generation type teaching materials corresponding to group work classes of engineering mathematics based on TeX environment
2013 - 2018 Deepening of the research in set-theoretic topology with forcing and large cardinal properties
2012 - 2017 Invariant structures on medium-size infinite cardinals
2010 - 2014 非正曲率空間のCoarse的解析とコンパクト化による剰余の位相的解析
2008 - 2011 Combinatorics on medium-sized infinite cardinals
2007 - 2009 Coarse geometry and compactifications that are metric-dependent, with relation to Novikov conjecture
2002 - 2005 プロパーな距離空間におけるコンパクト化の理論と漸近次元論の研究
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Papers (15):
Yuji Akaike, Kazuo Tomoyasu. Perfectness of Higson type compactificaitons. Tsukuba Journal of Mathematics. 2021. 45. 2. 189-207
Heikki Junnila, Kazuo Tomoyasu. On metrizable subsets of hereditarily normal compact spaces. TOPOLOGY PROCEEDINGS. 2021. 59. 153-162