Event Detail

Event Type: 
Topology Seminar
Wednesday, September 27, 2006 - 08:00
Kidder 364

Speaker Info

University of Ljubljana

It is well known that all simply connected acyclic or cell-like polyhedra are contractible spaces. We shall present joint work with K. Eda and U.H. Karimov, the main result of which is a construction of the functor SC(−,−) from the category of path connected spaces with a base point and continuous mappings to the subcategory of simply connected spaces. In the case when Z is a Peano continuum, SC(Z, z0) is also a Peano continuum and when Z is a finite-dimensional noncontractible space, the space SC(Z, z0) is also finite-dimensional and noncontractible.