A homotopy boundary of a finite CW-complex X is the boundary of a thickening of X, that is of a comp
A homotopy boundary of a finite CW-complex X is the boundary of a thickening of X, that is of a compact manifold of the homotopy type of X. This notion appears naturally in the context of embeddings since the boundary of a tubular neighborhood of the embedded manifold in the ambient manifold is a homotopy boundary of the embedded manifold. The purpose of this talk is to study the rational homotopy type of the homotopy boundaries of a given complex X. In particular, we will see that the rational homotopy type of a large class of boundaries is completely determined by the rational homotopy type of X.

Date and Venue

Start Date
Venue
sala 0.07

Speaker

Lucile Vandembroucq
Departamento de Matemática
Universidade do Minho

Area

Geometry and Topology