| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
A cell complex is a topological space which is a union of balls of various dimensions in a nice way. Such a structure has benn proved to be very useful in topology and related fields. In this research, a new notion of cellular stratified spaces is introduced as a generalization of cell complexes. One of the main results is that, for a cellular stratified space satisfying a certain condition, we obtain a topological category, called the face category, whose classifying space can be embedded in the original space as a deformation retract. It means that the classifying space is homotopy equivalent to the original space. This result can be used, for example, to determine the fundamental group of the configuration space of a graph of small size.
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