winding number and fundamental group

The winding number is an analytic way to define an explicit isomorphism

$$W[\bullet :z_0]:{\pi }_1(ℂ\setminus z_0)\to \mathbb{Z}$$

from the fundamental group of the punctured (at $z_0$) complex plane to the group of integers.

Title	winding number and fundamental group
Canonical name	WindingNumberAndFundamentalGroup
Date of creation	2013-03-22 12:58:12
Last modified on	2013-03-22 12:58:12
Owner	Dr_Absentius (537)
Last modified by	Dr_Absentius (537)
Numerical id	5
Author	Dr_Absentius (537)
Entry type	Result
Classification	msc 30A99
Classification	msc 55M25