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Commutativeness of Fundamental Groups of Topological Groups

Artur Korniłowicz (2013)

Formalized Mathematics

In this article we prove that fundamental groups based at the unit point of topological groups are commutative [11].

Correction to the paper "Moduli spaces of covers and the Hurwitz monodromy group".

M. Fried, R. Biggers (1983)

Journal für die reine und angewandte Mathematik

Counting Elemnts in Homotopy Sets.

Robert Switzer (1981)

Mathematische Zeitschrift

Covering maps for locally path-connected spaces

N. Brodskiy, J. Dydak, B. Labuz, A. Mitra (2012)

Fundamenta Mathematicae

We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological space. One of characterizations of Peano covering maps is via the uniqueness of homotopy lifting property for all locally path-connected spaces. Regular Peano covering maps over path-connected spaces are shown to be identical with generalized regular covering maps introduced by Fischer and Zastrow....

Displaying 1 – 4 of 4

Commutativeness of Fundamental Groups of Topological Groups

Correction to the paper "Moduli spaces of covers and the Hurwitz monodromy group".

Counting Elemnts in Homotopy Sets.

Covering maps for locally path-connected spaces

Currently displaying 1 – 4 of 4