PlanetMath: winding number and fundamental group

(more info)

Math for the people, by the people.

donor list - find out how

Main Menu

winding number and fundamental group

(Result)

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

$$ W[\bullet:z_0]\co \pi_1(\BC\setminus z_0)\to\BZ$$ from the fundamental group of the punctured (at $z_0$ ) complex plane to the group of integers.

"winding number and fundamental group" is owned by Dr_Absentius.

(view preamble | get metadata)

This object's parent.

Log in to rate this entry.
(view current ratings)

Cross-references: integers, group, complex plane, fundamental group, isomorphism, analytic, winding number

This is version 2 of winding number and fundamental group, born on 2002-08-23, modified 2004-01-24.
Object id is 3340, canonical name is WindingNumberAndFundamentalGroup.
Accessed 2422 times total.

Classification:

AMS MSC:	30A99 (Functions of a complex variable :: General properties :: Miscellaneous)
	55M25 (Algebraic topology :: Classical topics :: Degree, winding number)

Pending Errata and Addenda

None.

Discussion

forum policy

No messages.

Interact