Please turn in the Seifert-van Kampen problems from last week (Section 1.2 # 3, 4, 8, 19).

In addition, do

Section 1.3 # 1, 3, and 4a (just the \(S^2 \cup \mathrm{diameter}\) part).

and

A. Think of \(S^1 = \{z\in\mathbb{C}: |z| = 1 \} \). Let \(p:S^1 \to S^1\) be given by \(p(z) = z^n\). For any \(x \in S^1\), give an explicit evenly covered neighborhood \(U\) of \(x\), i.e. \( p^{-1}(U) = \sqcup V_a \) where \( p|_{V_a} :V_a \to U\) is a homeomorphism.

Think about the following problems, but do turn them in:
Section 1.2 # 7, 9, 10, 11, 20.