Calculate the fundamental groups of the following spaces:

i)

ii)

iii)

iv) \

v) \

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.