Decomposition of a suspension of a space over a poset

Date: 
2014/04/14 Mon 15:00 - 15:00
Room: 
Room 609, Building No.6
Speaker: 
Daisuke Kishimoto
Affiliation: 
Kyoto University
Abstract: 

We consider a space over a poset having natural retractions for all arrows. Such a structure appears frequently in fundamental objects such as simplicial spaces. In this talk, we show a homotopy decomposition of a suspension of the colimit of this kind of space over a poset.