On the Concept of Genus

Número: 
21
Ano: 
2006
Autor: 
Ricardo N. Cruz
Abstract: 

The concept of genus of a manifold was introduced by O. Cornea in \cite{co}. Applications can be found in \cite{cdr,cr}. We generalize this concept to stratified spaces. In addition, we provide an elementary computation for the genus of closed and connected surfaces and an example.

Keywords: 
Manifolds
Genus
Group
Mathematics Subject Classification 2000 (MSC 2000): 
Primary 57N80; 57S17; 57R80; 57Q10; 57D70;
Observação: 
submitted 05/06