| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Outline of Final Research Achievements |
This work studied, as one of the topics of topological combinatorics, the structures of simplicial complexes whose all substructures homogeneously have the same property. The main topic is related to shellability, sequentially Cohen-Macaulayness, and partitionability, and our interest is in the structures of simplicial complexes all of whose substructures hereditarily satisfy these properties. As one of our results, we proposed a new property that is a weak version of nonnegativity of h-triangles, and showed the relations between this property and the above three properties when hereditarity is required. We also discussed the hereditary property of shellability etc. can be seen as generalizations of matroids,
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