2 papers
math.GT2012
Finding a system of essential 2-suborbifolds
Yoshihiro Takeuchi, Misako Yokoyama
We make an analogy of Culler-Morgan-Shalen theory. Our main goal is to show that there exists a non-empty system of essential 2-suborbifolds respecting a given splitting of the orb…
math.GT2001
The t-singular homology of orbifolds
Yoshihiro Takeuchi, Misako Yokoyama
For an orbifold M we define a homology group, called t-singular homology group t-H_q(M), which depends not only on the topological structure of the underlying space of M, but also…