Exercises #2

• Verify the statements and proofs of [HK] section 7.2.1, lemma 7.1.8, propositions 7.1.3, 7.1.9 and lemma 7.2.6
• Exercises [HK] 7.2.1, 7.2.3 
• Exercises [HK] 7.3.1, 7.3.2 
• Determine the exponential growth rate p(E_m) with m in Z\{0}.
• With reference to Prop 7.1.5 of [HK], p 199, give examples of maps f satisfying the conditions set out in the first sentence of this proposition such that P_n(f)>2^n (for some n, and for all n).