Questions handed in by students on 2015-11-03.

Admin - 

1) Can we do more exercises in classroom similar of the ones in the example sheets?  
Will we know the answer of the exercises of the example sheets?

Lecture - 

1) Is there meant to be a difference between \tilde{F} (F squiggle) and \hat{F} (F hat)?

2) Could you explain explicitly how the Homotopy Lifting Property relates to \Phi \from \ZZ \to \pi_1(S^1, 1) being an isomorphism?

Exercises - 

1) Obs: Visualising in 4 dimensions is hard cf: \RR^4 - {xy plane} \cup {zw plane} \he (a surface) 
Q: So how xxxxxx what approach should we take in these circumstances/questions? 

2) What is an informal method for calculating the deck group of covers?  Please give examples for 3, 4, etc fold covers of [figure of eight graph]

Beyond - 

1) When doing the first assignment question (cf last weeks HWK) it looked as if the deck group might be the kernel of some nice map/homomorphism.  (kernel of the covering map (or "almost" the covering map))  Is this true?  i.e. can we compute deck groups as the kernel of some group homomorphism?

2) Are the other \pi_n(X) groups interesting?  Are they even groups?  (n other than 1)