Discreteness and Homogeneity of the Topological Fundamental Group

Autor: Calcut, Jack S., McCarthy, John D.
Rok vydání: 2009
Předmět:
Druh dokumentu: Working Paper
Popis: For a locally path connected topological space, the topological fundamental group is discrete if and only if the space is semilocally simply-connected. While functoriality of the topological fundamental group for arbitrary topological spaces remains an open question, the topological fundamental group is always a homogeneous space.
Comment: 8 pages, 2 figures
Databáze: arXiv