Coverings and fundamental groups: a new approach

• Date: 2013
• Author Affiliations: J. Dydak — The University of Tennessee, Knoxville
• Keywords: keywords
• Main Author: Dydak, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/270
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Classical fundamental groups behave reasonably well for Poincare spaces (i.e.. semy-locally simply connected spaces). One has a construction of the universal covering for such spaces. For arbitrary spaces it is a different matter. We define monodromy groups $\pi (p,b_{0})$ for any map $...