Calculating Fundamental Groups
Calculate the fundamental groups of the following spaces:
For i) as is obviously simply connected so has trivial fundamental group.
ii) As is the the disjoint union of two contractible spaces I think this makes too?
iii) and iv) are both homotopically equivalent to and therefore simply connected so does that make them also?
for v) I have no idea?
I'm just doubting myself as I find that they are just the trivial fundamental groups for the first four and would like some reassurance?
any help on v) much appreciated too.
Re: Calculating Fundamental Groups
You're right for 1-4. For #5, it is equivalent to a cylinder. So the fundamental group is Z.