I am doing some revision and trying to do fundamental groups and I was wondering if the fundamental group of the following space is {1} i.e. all loops based p are homotopic.(adsbygoogle = window.adsbygoogle || []).push({});

fundamental group of (X,p) = D^2\{(x,0) : 0<=x<=1} where p=(-1,0)

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fundamental Group

**Physics Forums | Science Articles, Homework Help, Discussion**