A caracter\'istica de Euler-Poincar\'e
Algebraic Topology
2016-11-15 v1
Abstract
We introduce the Euler-Poincar\'e's characteristic with an elementary way and historically. We explain also why one should call Descartes-Poincar\'e characteristic instead of the Euler-Poincar\'e's characteristic. All the considered spaces are compact and without boundary. We work essentially on smooth and oriented surfaces . However, we work also on singular and non-oriented surfaces. We provide also the results which may be extended for the case of superior dimension.
Cite
@article{arxiv.1611.03918,
title = {A caracter\'istica de Euler-Poincar\'e},
author = {Jean Paul Brasselet and Nguyen Thi Bich Thuy},
journal= {arXiv preprint arXiv:1611.03918},
year = {2016}
}
Comments
in Portuguese