Improving the Robustness of the Sample Spatial Outlyingness Functions through Spatial Trimming |
| Soumen Sarkar |
| Abstract |
| R. Thom and M. Adachi proved that the oriented cobordism class of CP^{2n-1}and RP^{2m-1} to be zero if n=1,2 ; m=1, 2, 3,4 and n=3 ; m= 5, 6 respectively. We show the T2-cobordism group of the category of 4-dimensional quasitoric manifolds is generated by the T2-cobordism class of CP2. We construct oriented manifolds having the boundary either CP^{2n-1} or RP^{2n-1} for each n > 0. The main tool is the theory of quasitoric manifolds. |